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Finding the Fourth Proportional to 284,529.90, 392,659.18 and 157,213.68

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Solution

The fourth proportional to 284,529.90, 392,659.18 and 157,213.68 is: 216,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,529.90 : 392,659.18 = 157,213.68 : x
  2. Step 2: Convert to fraction form
    284,529.90/392,659.18 = 157,213.68/x
  3. Step 3: Cross multiply
    284,529.90x = 392,659.18 × 157,213.68
  4. Step 4: Simplify right side
    284,529.90x = 61,731,394,673.58
  5. Step 5: Solve for x
    x = 61,731,394,673.58/284,529.90
  6. Step 6: Final answer
    x = 216,959.25

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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.