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Finding the Fourth Proportional to 410,891.80, 615,948.90 and 242,541.40

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Solution

The fourth proportional to 410,891.80, 615,948.90 and 242,541.40 is: 363,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,891.80 : 615,948.90 = 242,541.40 : x
  2. Step 2: Convert to fraction form
    410,891.80/615,948.90 = 242,541.40/x
  3. Step 3: Cross multiply
    410,891.80x = 615,948.90 × 242,541.40
  4. Step 4: Simplify right side
    410,891.80x = 149,393,108,534.46
  5. Step 5: Solve for x
    x = 149,393,108,534.46/410,891.80
  6. Step 6: Final answer
    x = 363,582.60

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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.