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Finding the Fourth Proportional to 457,139.10, 685,708.65 and 389,487.90

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Solution

The fourth proportional to 457,139.10, 685,708.65 and 389,487.90 is: 584,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,139.10 : 685,708.65 = 389,487.90 : x
  2. Step 2: Convert to fraction form
    457,139.10/685,708.65 = 389,487.90/x
  3. Step 3: Cross multiply
    457,139.10x = 685,708.65 × 389,487.90
  4. Step 4: Simplify right side
    457,139.10x = 267,075,222,100.34
  5. Step 5: Solve for x
    x = 267,075,222,100.34/457,139.10
  6. Step 6: Final answer
    x = 584,231.85

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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.