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Finding the Fourth Proportional to 399,037.84, 598,550.34 and 185,686.46

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Solution

The fourth proportional to 399,037.84, 598,550.34 and 185,686.46 is: 278,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,037.84 : 598,550.34 = 185,686.46 : x
  2. Step 2: Convert to fraction form
    399,037.84/598,550.34 = 185,686.46/x
  3. Step 3: Cross multiply
    399,037.84x = 598,550.34 × 185,686.46
  4. Step 4: Simplify right side
    399,037.84x = 111,142,693,766.40
  5. Step 5: Solve for x
    x = 111,142,693,766.40/399,037.84
  6. Step 6: Final answer
    x = 278,526.70

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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.