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Finding the Fourth Proportional to 258,435.61, 387,648.55 and 140,855.20

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Solution

The fourth proportional to 258,435.61, 387,648.55 and 140,855.20 is: 211,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,435.61 : 387,648.55 = 140,855.20 : x
  2. Step 2: Convert to fraction form
    258,435.61/387,648.55 = 140,855.20/x
  3. Step 3: Cross multiply
    258,435.61x = 387,648.55 × 140,855.20
  4. Step 4: Simplify right side
    258,435.61x = 54,602,313,246.91
  5. Step 5: Solve for x
    x = 54,602,313,246.91/258,435.61
  6. Step 6: Final answer
    x = 211,280.15

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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.