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Finding the Fourth Proportional to 513,856.20, 770,784.30 and 158,906.10

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Solution

The fourth proportional to 513,856.20, 770,784.30 and 158,906.10 is: 238,359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,856.20 : 770,784.30 = 158,906.10 : x
  2. Step 2: Convert to fraction form
    513,856.20/770,784.30 = 158,906.10/x
  3. Step 3: Cross multiply
    513,856.20x = 770,784.30 × 158,906.10
  4. Step 4: Simplify right side
    513,856.20x = 122,482,327,054.23
  5. Step 5: Solve for x
    x = 122,482,327,054.23/513,856.20
  6. Step 6: Final answer
    x = 238,359.15

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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.