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Finding the Fourth Proportional to 457,519.31, 686,283.62 and 120,608.31

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Solution

The fourth proportional to 457,519.31, 686,283.62 and 120,608.31 is: 180,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,519.31 : 686,283.62 = 120,608.31 : x
  2. Step 2: Convert to fraction form
    457,519.31/686,283.62 = 120,608.31/x
  3. Step 3: Cross multiply
    457,519.31x = 686,283.62 × 120,608.31
  4. Step 4: Simplify right side
    457,519.31x = 82,771,506,985.84
  5. Step 5: Solve for x
    x = 82,771,506,985.84/457,519.31
  6. Step 6: Final answer
    x = 180,913.69

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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.