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Finding the Fourth Proportional to 502,150, 692,798.40 and 284,328.96

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Solution

The fourth proportional to 502,150, 692,798.40 and 284,328.96 is: 392,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,150 : 692,798.40 = 284,328.96 : x
  2. Step 2: Convert to fraction form
    502,150/692,798.40 = 284,328.96/x
  3. Step 3: Cross multiply
    502,150x = 692,798.40 × 284,328.96
  4. Step 4: Simplify right side
    502,150x = 196,982,648,561.66
  5. Step 5: Solve for x
    x = 196,982,648,561.66/502,150
  6. Step 6: Final answer
    x = 392,278.50

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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.