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Finding the Fourth Proportional to 478,488.57, 717,732.86 and 141,502.98

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Solution

The fourth proportional to 478,488.57, 717,732.86 and 141,502.98 is: 212,254.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,488.57 : 717,732.86 = 141,502.98 : x
  2. Step 2: Convert to fraction form
    478,488.57/717,732.86 = 141,502.98/x
  3. Step 3: Cross multiply
    478,488.57x = 717,732.86 × 141,502.98
  4. Step 4: Simplify right side
    478,488.57x = 101,561,338,533.92
  5. Step 5: Solve for x
    x = 101,561,338,533.92/478,488.57
  6. Step 6: Final answer
    x = 212,254.47

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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.