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Finding the Fourth Proportional to 411,897.30, 617,845.95 and 145,655.70

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Solution

The fourth proportional to 411,897.30, 617,845.95 and 145,655.70 is: 218,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,897.30 : 617,845.95 = 145,655.70 : x
  2. Step 2: Convert to fraction form
    411,897.30/617,845.95 = 145,655.70/x
  3. Step 3: Cross multiply
    411,897.30x = 617,845.95 × 145,655.70
  4. Step 4: Simplify right side
    411,897.30x = 89,992,784,339.42
  5. Step 5: Solve for x
    x = 89,992,784,339.42/411,897.30
  6. Step 6: Final answer
    x = 218,483.55

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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.