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Finding the Fourth Proportional to 485,698.38, 728,549.31 and 148,737.57

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Solution

The fourth proportional to 485,698.38, 728,549.31 and 148,737.57 is: 223,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,698.38 : 728,549.31 = 148,737.57 : x
  2. Step 2: Convert to fraction form
    485,698.38/728,549.31 = 148,737.57/x
  3. Step 3: Cross multiply
    485,698.38x = 728,549.31 × 148,737.57
  4. Step 4: Simplify right side
    485,698.38x = 108,362,651,401.96
  5. Step 5: Solve for x
    x = 108,362,651,401.96/485,698.38
  6. Step 6: Final answer
    x = 223,106.88

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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.