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Finding the Fourth Proportional to 478,502.31, 717,858.56 and 141,516.69

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Solution

The fourth proportional to 478,502.31, 717,858.56 and 141,516.69 is: 212,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,502.31 : 717,858.56 = 141,516.69 : x
  2. Step 2: Convert to fraction form
    478,502.31/717,858.56 = 141,516.69/x
  3. Step 3: Cross multiply
    478,502.31x = 717,858.56 × 141,516.69
  4. Step 4: Simplify right side
    478,502.31x = 101,588,966,077.40
  5. Step 5: Solve for x
    x = 101,588,966,077.40/478,502.31
  6. Step 6: Final answer
    x = 212,306.11

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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.