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Finding the Fourth Proportional to 354,251.60, 531,377.40 and 299,139.20

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Solution

The fourth proportional to 354,251.60, 531,377.40 and 299,139.20 is: 448,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,251.60 : 531,377.40 = 299,139.20 : x
  2. Step 2: Convert to fraction form
    354,251.60/531,377.40 = 299,139.20/x
  3. Step 3: Cross multiply
    354,251.60x = 531,377.40 × 299,139.20
  4. Step 4: Simplify right side
    354,251.60x = 158,955,810,334.08
  5. Step 5: Solve for x
    x = 158,955,810,334.08/354,251.60
  6. Step 6: Final answer
    x = 448,708.80

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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.