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Finding the Fourth Proportional to 488,234.70, 732,352.05 and 409,502.70

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Solution

The fourth proportional to 488,234.70, 732,352.05 and 409,502.70 is: 614,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,234.70 : 732,352.05 = 409,502.70 : x
  2. Step 2: Convert to fraction form
    488,234.70/732,352.05 = 409,502.70/x
  3. Step 3: Cross multiply
    488,234.70x = 732,352.05 × 409,502.70
  4. Step 4: Simplify right side
    488,234.70x = 299,900,141,825.54
  5. Step 5: Solve for x
    x = 299,900,141,825.54/488,234.70
  6. Step 6: Final answer
    x = 614,254.05

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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.