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Finding the Fourth Proportional to 410,320.80, 615,394.80 and 173,671.20

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Solution

The fourth proportional to 410,320.80, 615,394.80 and 173,671.20 is: 260,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,320.80 : 615,394.80 = 173,671.20 : x
  2. Step 2: Convert to fraction form
    410,320.80/615,394.80 = 173,671.20/x
  3. Step 3: Cross multiply
    410,320.80x = 615,394.80 × 173,671.20
  4. Step 4: Simplify right side
    410,320.80x = 106,876,353,389.76
  5. Step 5: Solve for x
    x = 106,876,353,389.76/410,320.80
  6. Step 6: Final answer
    x = 260,470.23

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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.