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Finding the Fourth Proportional to 485,125.80, 727,688.70 and 307,978.80

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Solution

The fourth proportional to 485,125.80, 727,688.70 and 307,978.80 is: 461,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,125.80 : 727,688.70 = 307,978.80 : x
  2. Step 2: Convert to fraction form
    485,125.80/727,688.70 = 307,978.80/x
  3. Step 3: Cross multiply
    485,125.80x = 727,688.70 × 307,978.80
  4. Step 4: Simplify right side
    485,125.80x = 224,112,692,599.56
  5. Step 5: Solve for x
    x = 224,112,692,599.56/485,125.80
  6. Step 6: Final answer
    x = 461,968.20

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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.