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Finding the Fourth Proportional to 305,057.92, 457,314.72 and 155,214.40

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Solution

The fourth proportional to 305,057.92, 457,314.72 and 155,214.40 is: 232,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,057.92 : 457,314.72 = 155,214.40 : x
  2. Step 2: Convert to fraction form
    305,057.92/457,314.72 = 155,214.40/x
  3. Step 3: Cross multiply
    305,057.92x = 457,314.72 × 155,214.40
  4. Step 4: Simplify right side
    305,057.92x = 70,981,829,875.97
  5. Step 5: Solve for x
    x = 70,981,829,875.97/305,057.92
  6. Step 6: Final answer
    x = 232,683.12

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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.