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Finding the Fourth Proportional to 344,854.80, 517,298.40 and 108,205.20

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Solution

The fourth proportional to 344,854.80, 517,298.40 and 108,205.20 is: 162,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,854.80 : 517,298.40 = 108,205.20 : x
  2. Step 2: Convert to fraction form
    344,854.80/517,298.40 = 108,205.20/x
  3. Step 3: Cross multiply
    344,854.80x = 517,298.40 × 108,205.20
  4. Step 4: Simplify right side
    344,854.80x = 55,974,376,831.68
  5. Step 5: Solve for x
    x = 55,974,376,831.68/344,854.80
  6. Step 6: Final answer
    x = 162,312.88

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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.