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Finding the Fourth Proportional to 514,644.78, 771,943.41 and 140,666.70

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Solution

The fourth proportional to 514,644.78, 771,943.41 and 140,666.70 is: 210,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,644.78 : 771,943.41 = 140,666.70 : x
  2. Step 2: Convert to fraction form
    514,644.78/771,943.41 = 140,666.70/x
  3. Step 3: Cross multiply
    514,644.78x = 771,943.41 × 140,666.70
  4. Step 4: Simplify right side
    514,644.78x = 108,586,732,071.45
  5. Step 5: Solve for x
    x = 108,586,732,071.45/514,644.78
  6. Step 6: Final answer
    x = 210,993.56

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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.