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Finding the Fourth Proportional to 502,149.94, 692,798.34 and 284,328.83

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Solution

The fourth proportional to 502,149.94, 692,798.34 and 284,328.83 is: 392,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,149.94 : 692,798.34 = 284,328.83 : x
  2. Step 2: Convert to fraction form
    502,149.94/692,798.34 = 284,328.83/x
  3. Step 3: Cross multiply
    502,149.94x = 692,798.34 × 284,328.83
  4. Step 4: Simplify right side
    502,149.94x = 196,982,541,438.14
  5. Step 5: Solve for x
    x = 196,982,541,438.14/502,149.94
  6. Step 6: Final answer
    x = 392,278.33

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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.