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Finding the Fourth Proportional to 305,138.88, 457,807.68 and 147,385.44

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Solution

The fourth proportional to 305,138.88, 457,807.68 and 147,385.44 is: 221,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,138.88 : 457,807.68 = 147,385.44 : x
  2. Step 2: Convert to fraction form
    305,138.88/457,807.68 = 147,385.44/x
  3. Step 3: Cross multiply
    305,138.88x = 457,807.68 × 147,385.44
  4. Step 4: Simplify right side
    305,138.88x = 67,474,186,352.18
  5. Step 5: Solve for x
    x = 67,474,186,352.18/305,138.88
  6. Step 6: Final answer
    x = 221,126.15

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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.