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Finding the Fourth Proportional to 457,140.60, 685,710.90 and 389,489.40

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Solution

The fourth proportional to 457,140.60, 685,710.90 and 389,489.40 is: 584,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,140.60 : 685,710.90 = 389,489.40 : x
  2. Step 2: Convert to fraction form
    457,140.60/685,710.90 = 389,489.40/x
  3. Step 3: Cross multiply
    457,140.60x = 685,710.90 × 389,489.40
  4. Step 4: Simplify right side
    457,140.60x = 267,077,127,014.46
  5. Step 5: Solve for x
    x = 267,077,127,014.46/457,140.60
  6. Step 6: Final answer
    x = 584,234.10

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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.