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Finding the Fourth Proportional to 470,147.70, 705,221.55 and 399,288.90

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Solution

The fourth proportional to 470,147.70, 705,221.55 and 399,288.90 is: 598,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,147.70 : 705,221.55 = 399,288.90 : x
  2. Step 2: Convert to fraction form
    470,147.70/705,221.55 = 399,288.90/x
  3. Step 3: Cross multiply
    470,147.70x = 705,221.55 × 399,288.90
  4. Step 4: Simplify right side
    470,147.70x = 281,587,136,955.80
  5. Step 5: Solve for x
    x = 281,587,136,955.80/470,147.70
  6. Step 6: Final answer
    x = 598,933.35

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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.