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Finding the Fourth Proportional to 319,338, 478,951.92 and 94,695.84

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Solution

The fourth proportional to 319,338, 478,951.92 and 94,695.84 is: 142,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,338 : 478,951.92 = 94,695.84 : x
  2. Step 2: Convert to fraction form
    319,338/478,951.92 = 94,695.84/x
  3. Step 3: Cross multiply
    319,338x = 478,951.92 × 94,695.84
  4. Step 4: Simplify right side
    319,338x = 45,354,754,384.01
  5. Step 5: Solve for x
    x = 45,354,754,384.01/319,338
  6. Step 6: Final answer
    x = 142,027.43

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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.