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Finding the Fourth Proportional to 305,102.10, 457,726.05 and 147,200.70

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Solution

The fourth proportional to 305,102.10, 457,726.05 and 147,200.70 is: 220,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,102.10 : 457,726.05 = 147,200.70 : x
  2. Step 2: Convert to fraction form
    305,102.10/457,726.05 = 147,200.70/x
  3. Step 3: Cross multiply
    305,102.10x = 457,726.05 × 147,200.70
  4. Step 4: Simplify right side
    305,102.10x = 67,377,594,968.24
  5. Step 5: Solve for x
    x = 67,377,594,968.24/305,102.10
  6. Step 6: Final answer
    x = 220,836.22

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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.