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Finding the Fourth Proportional to 386,843.61, 580,237.98 and 102,527.85

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Solution

The fourth proportional to 386,843.61, 580,237.98 and 102,527.85 is: 153,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,843.61 : 580,237.98 = 102,527.85 : x
  2. Step 2: Convert to fraction form
    386,843.61/580,237.98 = 102,527.85/x
  3. Step 3: Cross multiply
    386,843.61x = 580,237.98 × 102,527.85
  4. Step 4: Simplify right side
    386,843.61x = 59,490,552,577.74
  5. Step 5: Solve for x
    x = 59,490,552,577.74/386,843.61
  6. Step 6: Final answer
    x = 153,784.50

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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.