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Finding the Fourth Proportional to 321,788.47, 482,760.74 and 97,135.47

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Solution

The fourth proportional to 321,788.47, 482,760.74 and 97,135.47 is: 145,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,788.47 : 482,760.74 = 97,135.47 : x
  2. Step 2: Convert to fraction form
    321,788.47/482,760.74 = 97,135.47/x
  3. Step 3: Cross multiply
    321,788.47x = 482,760.74 × 97,135.47
  4. Step 4: Simplify right side
    321,788.47x = 46,893,192,433.71
  5. Step 5: Solve for x
    x = 46,893,192,433.71/321,788.47
  6. Step 6: Final answer
    x = 145,726.77

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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.