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Finding the Fourth Proportional to 617,186.76, 924,285.12 and 427,114.48

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Solution

The fourth proportional to 617,186.76, 924,285.12 and 427,114.48 is: 639,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,186.76 : 924,285.12 = 427,114.48 : x
  2. Step 2: Convert to fraction form
    617,186.76/924,285.12 = 427,114.48/x
  3. Step 3: Cross multiply
    617,186.76x = 924,285.12 × 427,114.48
  4. Step 4: Simplify right side
    617,186.76x = 394,775,558,400.54
  5. Step 5: Solve for x
    x = 394,775,558,400.54/617,186.76
  6. Step 6: Final answer
    x = 639,637.11

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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.