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Finding the Fourth Proportional to 384,118.30, 576,177.45 and 103,663.90

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Solution

The fourth proportional to 384,118.30, 576,177.45 and 103,663.90 is: 155,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,118.30 : 576,177.45 = 103,663.90 : x
  2. Step 2: Convert to fraction form
    384,118.30/576,177.45 = 103,663.90/x
  3. Step 3: Cross multiply
    384,118.30x = 576,177.45 × 103,663.90
  4. Step 4: Simplify right side
    384,118.30x = 59,728,801,559.06
  5. Step 5: Solve for x
    x = 59,728,801,559.06/384,118.30
  6. Step 6: Final answer
    x = 155,495.85

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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.