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Finding the Fourth Proportional to 284,743.60, 392,911.92 and 157,401.84

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Solution

The fourth proportional to 284,743.60, 392,911.92 and 157,401.84 is: 217,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,743.60 : 392,911.92 = 157,401.84 : x
  2. Step 2: Convert to fraction form
    284,743.60/392,911.92 = 157,401.84/x
  3. Step 3: Cross multiply
    284,743.60x = 392,911.92 × 157,401.84
  4. Step 4: Simplify right side
    284,743.60x = 61,845,059,165.93
  5. Step 5: Solve for x
    x = 61,845,059,165.93/284,743.60
  6. Step 6: Final answer
    x = 217,195.61

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1.5x scale

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.