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Finding the Fourth Proportional to 411,398.70, 617,159.61 and 130,978.86

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Solution

The fourth proportional to 411,398.70, 617,159.61 and 130,978.86 is: 196,487.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,398.70 : 617,159.61 = 130,978.86 : x
  2. Step 2: Convert to fraction form
    411,398.70/617,159.61 = 130,978.86/x
  3. Step 3: Cross multiply
    411,398.70x = 617,159.61 × 130,978.86
  4. Step 4: Simplify right side
    411,398.70x = 80,834,862,155.84
  5. Step 5: Solve for x
    x = 80,834,862,155.84/411,398.70
  6. Step 6: Final answer
    x = 196,487.89

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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.