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Finding the Fourth Proportional to 415,421.16, 573,355.86 and 396,489.06

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Solution

The fourth proportional to 415,421.16, 573,355.86 and 396,489.06 is: 547,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,421.16 : 573,355.86 = 396,489.06 : x
  2. Step 2: Convert to fraction form
    415,421.16/573,355.86 = 396,489.06/x
  3. Step 3: Cross multiply
    415,421.16x = 573,355.86 × 396,489.06
  4. Step 4: Simplify right side
    415,421.16x = 227,329,325,976.89
  5. Step 5: Solve for x
    x = 227,329,325,976.89/415,421.16
  6. Step 6: Final answer
    x = 547,226.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.