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Finding the Fourth Proportional to 319,542.20, 478,730.10 and 194,737.40

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Solution

The fourth proportional to 319,542.20, 478,730.10 and 194,737.40 is: 291,750.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,542.20 : 478,730.10 = 194,737.40 : x
  2. Step 2: Convert to fraction form
    319,542.20/478,730.10 = 194,737.40/x
  3. Step 3: Cross multiply
    319,542.20x = 478,730.10 × 194,737.40
  4. Step 4: Simplify right side
    319,542.20x = 93,226,654,975.74
  5. Step 5: Solve for x
    x = 93,226,654,975.74/319,542.20
  6. Step 6: Final answer
    x = 291,750.68

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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.