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Finding the Fourth Proportional to 305,064.92, 457,325.20 and 155,221.40

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Solution

The fourth proportional to 305,064.92, 457,325.20 and 155,221.40 is: 232,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,064.92 : 457,325.20 = 155,221.40 : x
  2. Step 2: Convert to fraction form
    305,064.92/457,325.20 = 155,221.40/x
  3. Step 3: Cross multiply
    305,064.92x = 457,325.20 × 155,221.40
  4. Step 4: Simplify right side
    305,064.92x = 70,986,657,799.28
  5. Step 5: Solve for x
    x = 70,986,657,799.28/305,064.92
  6. Step 6: Final answer
    x = 232,693.61

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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.