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Finding the Fourth Proportional to 478,572.46, 717,973.25 and 137,020.64

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Solution

The fourth proportional to 478,572.46, 717,973.25 and 137,020.64 is: 205,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,572.46 : 717,973.25 = 137,020.64 : x
  2. Step 2: Convert to fraction form
    478,572.46/717,973.25 = 137,020.64/x
  3. Step 3: Cross multiply
    478,572.46x = 717,973.25 × 137,020.64
  4. Step 4: Simplify right side
    478,572.46x = 98,377,149,942.91
  5. Step 5: Solve for x
    x = 98,377,149,942.91/478,572.46
  6. Step 6: Final answer
    x = 205,563.75

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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.