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Finding the Fourth Proportional to 258,765.84, 387,837.72 and 140,432.40

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Solution

The fourth proportional to 258,765.84, 387,837.72 and 140,432.40 is: 210,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,765.84 : 387,837.72 = 140,432.40 : x
  2. Step 2: Convert to fraction form
    258,765.84/387,837.72 = 140,432.40/x
  3. Step 3: Cross multiply
    258,765.84x = 387,837.72 × 140,432.40
  4. Step 4: Simplify right side
    258,765.84x = 54,464,981,830.13
  5. Step 5: Solve for x
    x = 54,464,981,830.13/258,765.84
  6. Step 6: Final answer
    x = 210,479.80

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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.