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Finding the Fourth Proportional to 378,737.74, 522,657.72 and 208,971.88

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Solution

The fourth proportional to 378,737.74, 522,657.72 and 208,971.88 is: 288,381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,737.74 : 522,657.72 = 208,971.88 : x
  2. Step 2: Convert to fraction form
    378,737.74/522,657.72 = 208,971.88/x
  3. Step 3: Cross multiply
    378,737.74x = 522,657.72 × 208,971.88
  4. Step 4: Simplify right side
    378,737.74x = 109,220,766,344.91
  5. Step 5: Solve for x
    x = 109,220,766,344.91/378,737.74
  6. Step 6: Final answer
    x = 288,381.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.