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Finding the Fourth Proportional to 721,713.74, 996,039.09 and 415,801.64

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Solution

The fourth proportional to 721,713.74, 996,039.09 and 415,801.64 is: 573,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,713.74 : 996,039.09 = 415,801.64 : x
  2. Step 2: Convert to fraction form
    721,713.74/996,039.09 = 415,801.64/x
  3. Step 3: Cross multiply
    721,713.74x = 996,039.09 × 415,801.64
  4. Step 4: Simplify right side
    721,713.74x = 414,154,687,126.11
  5. Step 5: Solve for x
    x = 414,154,687,126.11/721,713.74
  6. Step 6: Final answer
    x = 573,848.98

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Double scale
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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.