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Finding the Fourth Proportional to 361,928.72, 542,805.60 and 151,724

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Solution

The fourth proportional to 361,928.72, 542,805.60 and 151,724 is: 227,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,928.72 : 542,805.60 = 151,724 : x
  2. Step 2: Convert to fraction form
    361,928.72/542,805.60 = 151,724/x
  3. Step 3: Cross multiply
    361,928.72x = 542,805.60 × 151,724
  4. Step 4: Simplify right side
    361,928.72x = 82,356,636,854.40
  5. Step 5: Solve for x
    x = 82,356,636,854.40/361,928.72
  6. Step 6: Final answer
    x = 227,549.33

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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.