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Finding the Fourth Proportional to 376,431.30, 564,148.53 and 276,121.85

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Solution

The fourth proportional to 376,431.30, 564,148.53 and 276,121.85 is: 413,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,431.30 : 564,148.53 = 276,121.85 : x
  2. Step 2: Convert to fraction form
    376,431.30/564,148.53 = 276,121.85/x
  3. Step 3: Cross multiply
    376,431.30x = 564,148.53 × 276,121.85
  4. Step 4: Simplify right side
    376,431.30x = 155,773,732,957.64
  5. Step 5: Solve for x
    x = 155,773,732,957.64/376,431.30
  6. Step 6: Final answer
    x = 413,817.16

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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.