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Finding the Fourth Proportional to 514,178.56, 709,557.52 and 284,731.30

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Solution

The fourth proportional to 514,178.56, 709,557.52 and 284,731.30 is: 392,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,178.56 : 709,557.52 = 284,731.30 : x
  2. Step 2: Convert to fraction form
    514,178.56/709,557.52 = 284,731.30/x
  3. Step 3: Cross multiply
    514,178.56x = 709,557.52 × 284,731.30
  4. Step 4: Simplify right side
    514,178.56x = 202,033,230,122.93
  5. Step 5: Solve for x
    x = 202,033,230,122.93/514,178.56
  6. Step 6: Final answer
    x = 392,924.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.