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Finding the Fourth Proportional to 485,139.40, 727,709.10 and 414,280.60

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Solution

The fourth proportional to 485,139.40, 727,709.10 and 414,280.60 is: 621,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,139.40 : 727,709.10 = 414,280.60 : x
  2. Step 2: Convert to fraction form
    485,139.40/727,709.10 = 414,280.60/x
  3. Step 3: Cross multiply
    485,139.40x = 727,709.10 × 414,280.60
  4. Step 4: Simplify right side
    485,139.40x = 301,475,762,573.46
  5. Step 5: Solve for x
    x = 301,475,762,573.46/485,139.40
  6. Step 6: Final answer
    x = 621,420.90

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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.