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Finding the Fourth Proportional to 438,050.80, 656,711.70 and 185,525.20

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Solution

The fourth proportional to 438,050.80, 656,711.70 and 185,525.20 is: 278,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,050.80 : 656,711.70 = 185,525.20 : x
  2. Step 2: Convert to fraction form
    438,050.80/656,711.70 = 185,525.20/x
  3. Step 3: Cross multiply
    438,050.80x = 656,711.70 × 185,525.20
  4. Step 4: Simplify right side
    438,050.80x = 121,836,569,484.84
  5. Step 5: Solve for x
    x = 121,836,569,484.84/438,050.80
  6. Step 6: Final answer
    x = 278,133.43

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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.