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Finding the Fourth Proportional to 384,562.31, 576,490.81 and 147,726.61

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Solution

The fourth proportional to 384,562.31, 576,490.81 and 147,726.61 is: 221,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,562.31 : 576,490.81 = 147,726.61 : x
  2. Step 2: Convert to fraction form
    384,562.31/576,490.81 = 147,726.61/x
  3. Step 3: Cross multiply
    384,562.31x = 576,490.81 × 147,726.61
  4. Step 4: Simplify right side
    384,562.31x = 85,163,032,937.54
  5. Step 5: Solve for x
    x = 85,163,032,937.54/384,562.31
  6. Step 6: Final answer
    x = 221,454.45

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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.