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Finding the Fourth Proportional to 354,657.60, 532,180.80 and 144,446.40

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Solution

The fourth proportional to 354,657.60, 532,180.80 and 144,446.40 is: 216,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,657.60 : 532,180.80 = 144,446.40 : x
  2. Step 2: Convert to fraction form
    354,657.60/532,180.80 = 144,446.40/x
  3. Step 3: Cross multiply
    354,657.60x = 532,180.80 × 144,446.40
  4. Step 4: Simplify right side
    354,657.60x = 76,871,600,709.12
  5. Step 5: Solve for x
    x = 76,871,600,709.12/354,657.60
  6. Step 6: Final answer
    x = 216,748.78

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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.