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Finding the Fourth Proportional to 258,451.96, 387,678.08 and 98,490.60

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Solution

The fourth proportional to 258,451.96, 387,678.08 and 98,490.60 is: 147,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,451.96 : 387,678.08 = 98,490.60 : x
  2. Step 2: Convert to fraction form
    258,451.96/387,678.08 = 98,490.60/x
  3. Step 3: Cross multiply
    258,451.96x = 387,678.08 × 98,490.60
  4. Step 4: Simplify right side
    258,451.96x = 38,182,644,275.20
  5. Step 5: Solve for x
    x = 38,182,644,275.20/258,451.96
  6. Step 6: Final answer
    x = 147,735.94

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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.