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Finding the Fourth Proportional to 258,436.61, 387,650.05 and 140,856.20

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Solution

The fourth proportional to 258,436.61, 387,650.05 and 140,856.20 is: 211,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,436.61 : 387,650.05 = 140,856.20 : x
  2. Step 2: Convert to fraction form
    258,436.61/387,650.05 = 140,856.20/x
  3. Step 3: Cross multiply
    258,436.61x = 387,650.05 × 140,856.20
  4. Step 4: Simplify right side
    258,436.61x = 54,602,912,972.81
  5. Step 5: Solve for x
    x = 54,602,912,972.81/258,436.61
  6. Step 6: Final answer
    x = 211,281.65

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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.