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Finding the Fourth Proportional to 465,886.28, 642,992.10 and 284,702.60

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Solution

The fourth proportional to 465,886.28, 642,992.10 and 284,702.60 is: 392,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,886.28 : 642,992.10 = 284,702.60 : x
  2. Step 2: Convert to fraction form
    465,886.28/642,992.10 = 284,702.60/x
  3. Step 3: Cross multiply
    465,886.28x = 642,992.10 × 284,702.60
  4. Step 4: Simplify right side
    465,886.28x = 183,061,522,649.46
  5. Step 5: Solve for x
    x = 183,061,522,649.46/465,886.28
  6. Step 6: Final answer
    x = 392,931.77

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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.