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Finding the Fourth Proportional to 457,620.53, 686,423.50 and 142,077.74

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Solution

The fourth proportional to 457,620.53, 686,423.50 and 142,077.74 is: 213,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,620.53 : 686,423.50 = 142,077.74 : x
  2. Step 2: Convert to fraction form
    457,620.53/686,423.50 = 142,077.74/x
  3. Step 3: Cross multiply
    457,620.53x = 686,423.50 × 142,077.74
  4. Step 4: Simplify right side
    457,620.53x = 97,525,495,775.58
  5. Step 5: Solve for x
    x = 97,525,495,775.58/457,620.53
  6. Step 6: Final answer
    x = 213,114.34

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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.