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Finding the Fourth Proportional to 284,590.92, 392,735.34 and 157,265.40

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Solution

The fourth proportional to 284,590.92, 392,735.34 and 157,265.40 is: 217,026.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,590.92 : 392,735.34 = 157,265.40 : x
  2. Step 2: Convert to fraction form
    284,590.92/392,735.34 = 157,265.40/x
  3. Step 3: Cross multiply
    284,590.92x = 392,735.34 × 157,265.40
  4. Step 4: Simplify right side
    284,590.92x = 61,763,680,339.24
  5. Step 5: Solve for x
    x = 61,763,680,339.24/284,590.92
  6. Step 6: Final answer
    x = 217,026.18

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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.