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Finding the Fourth Proportional to 284,566.92, 392,702.22 and 157,241.40

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Solution

The fourth proportional to 284,566.92, 392,702.22 and 157,241.40 is: 216,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,566.92 : 392,702.22 = 157,241.40 : x
  2. Step 2: Convert to fraction form
    284,566.92/392,702.22 = 157,241.40/x
  3. Step 3: Cross multiply
    284,566.92x = 392,702.22 × 157,241.40
  4. Step 4: Simplify right side
    284,566.92x = 61,749,046,855.91
  5. Step 5: Solve for x
    x = 61,749,046,855.91/284,566.92
  6. Step 6: Final answer
    x = 216,993.06

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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.