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Finding the Fourth Proportional to 319,333.90, 478,828.05 and 132,364.30

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Solution

The fourth proportional to 319,333.90, 478,828.05 and 132,364.30 is: 198,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,333.90 : 478,828.05 = 132,364.30 : x
  2. Step 2: Convert to fraction form
    319,333.90/478,828.05 = 132,364.30/x
  3. Step 3: Cross multiply
    319,333.90x = 478,828.05 × 132,364.30
  4. Step 4: Simplify right side
    319,333.90x = 63,379,739,658.62
  5. Step 5: Solve for x
    x = 63,379,739,658.62/319,333.90
  6. Step 6: Final answer
    x = 198,474.82

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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.