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Finding the Fourth Proportional to 410,564.20, 615,846.30 and 391,318.60

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Solution

The fourth proportional to 410,564.20, 615,846.30 and 391,318.60 is: 586,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,564.20 : 615,846.30 = 391,318.60 : x
  2. Step 2: Convert to fraction form
    410,564.20/615,846.30 = 391,318.60/x
  3. Step 3: Cross multiply
    410,564.20x = 615,846.30 × 391,318.60
  4. Step 4: Simplify right side
    410,564.20x = 240,992,111,931.18
  5. Step 5: Solve for x
    x = 240,992,111,931.18/410,564.20
  6. Step 6: Final answer
    x = 586,977.90

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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.