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Finding the Fourth Proportional to 344,101.60, 516,152.40 and 288,989.20

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Solution

The fourth proportional to 344,101.60, 516,152.40 and 288,989.20 is: 433,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,101.60 : 516,152.40 = 288,989.20 : x
  2. Step 2: Convert to fraction form
    344,101.60/516,152.40 = 288,989.20/x
  3. Step 3: Cross multiply
    344,101.60x = 516,152.40 × 288,989.20
  4. Step 4: Simplify right side
    344,101.60x = 149,162,469,154.08
  5. Step 5: Solve for x
    x = 149,162,469,154.08/344,101.60
  6. Step 6: Final answer
    x = 433,483.80

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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.