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Finding the Fourth Proportional to 514,537.10, 771,805.65 and 140,560.10

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Solution

The fourth proportional to 514,537.10, 771,805.65 and 140,560.10 is: 210,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,537.10 : 771,805.65 = 140,560.10 : x
  2. Step 2: Convert to fraction form
    514,537.10/771,805.65 = 140,560.10/x
  3. Step 3: Cross multiply
    514,537.10x = 771,805.65 × 140,560.10
  4. Step 4: Simplify right side
    514,537.10x = 108,485,079,344.57
  5. Step 5: Solve for x
    x = 108,485,079,344.57/514,537.10
  6. Step 6: Final answer
    x = 210,840.15

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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.