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Finding the Fourth Proportional to 513,793.80, 770,690.70 and 470,248.20

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Solution

The fourth proportional to 513,793.80, 770,690.70 and 470,248.20 is: 705,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,793.80 : 770,690.70 = 470,248.20 : x
  2. Step 2: Convert to fraction form
    513,793.80/770,690.70 = 470,248.20/x
  3. Step 3: Cross multiply
    513,793.80x = 770,690.70 × 470,248.20
  4. Step 4: Simplify right side
    513,793.80x = 362,415,914,431.74
  5. Step 5: Solve for x
    x = 362,415,914,431.74/513,793.80
  6. Step 6: Final answer
    x = 705,372.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.