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Finding the Fourth Proportional to 502,203.12, 692,871.36 and 284,382

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Solution

The fourth proportional to 502,203.12, 692,871.36 and 284,382 is: 392,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,203.12 : 692,871.36 = 284,382 : x
  2. Step 2: Convert to fraction form
    502,203.12/692,871.36 = 284,382/x
  3. Step 3: Cross multiply
    502,203.12x = 692,871.36 × 284,382
  4. Step 4: Simplify right side
    502,203.12x = 197,040,143,099.52
  5. Step 5: Solve for x
    x = 197,040,143,099.52/502,203.12
  6. Step 6: Final answer
    x = 392,351.49

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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.