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Finding the Fourth Proportional to 354,649, 532,073.50 and 144,437.80

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Solution

The fourth proportional to 354,649, 532,073.50 and 144,437.80 is: 216,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,649 : 532,073.50 = 144,437.80 : x
  2. Step 2: Convert to fraction form
    354,649/532,073.50 = 144,437.80/x
  3. Step 3: Cross multiply
    354,649x = 532,073.50 × 144,437.80
  4. Step 4: Simplify right side
    354,649x = 76,851,525,778.30
  5. Step 5: Solve for x
    x = 76,851,525,778.30/354,649
  6. Step 6: Final answer
    x = 216,697.43

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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.