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Finding the Fourth Proportional to 305,152.55, 457,652.23 and 145,129.73

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Solution

The fourth proportional to 305,152.55, 457,652.23 and 145,129.73 is: 217,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,152.55 : 457,652.23 = 145,129.73 : x
  2. Step 2: Convert to fraction form
    305,152.55/457,652.23 = 145,129.73/x
  3. Step 3: Cross multiply
    305,152.55x = 457,652.23 × 145,129.73
  4. Step 4: Simplify right side
    305,152.55x = 66,418,944,573.80
  5. Step 5: Solve for x
    x = 66,418,944,573.80/305,152.55
  6. Step 6: Final answer
    x = 217,658.17

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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.