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Finding the Fourth Proportional to 278,644.01, 384,524.70 and 151,319.30

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Solution

The fourth proportional to 278,644.01, 384,524.70 and 151,319.30 is: 208,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,644.01 : 384,524.70 = 151,319.30 : x
  2. Step 2: Convert to fraction form
    278,644.01/384,524.70 = 151,319.30/x
  3. Step 3: Cross multiply
    278,644.01x = 384,524.70 × 151,319.30
  4. Step 4: Simplify right side
    278,644.01x = 58,186,008,436.71
  5. Step 5: Solve for x
    x = 58,186,008,436.71/278,644.01
  6. Step 6: Final answer
    x = 208,818.44

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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.