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Finding the Fourth Proportional to 410,142.40, 615,213.60 and 368,808.10

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Solution

The fourth proportional to 410,142.40, 615,213.60 and 368,808.10 is: 553,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,142.40 : 615,213.60 = 368,808.10 : x
  2. Step 2: Convert to fraction form
    410,142.40/615,213.60 = 368,808.10/x
  3. Step 3: Cross multiply
    410,142.40x = 615,213.60 × 368,808.10
  4. Step 4: Simplify right side
    410,142.40x = 226,895,758,910.16
  5. Step 5: Solve for x
    x = 226,895,758,910.16/410,142.40
  6. Step 6: Final answer
    x = 553,212.15

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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.