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Finding the Fourth Proportional to 284,409.11, 392,451 and 157,077.11

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Solution

The fourth proportional to 284,409.11, 392,451 and 157,077.11 is: 216,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,409.11 : 392,451 = 157,077.11 : x
  2. Step 2: Convert to fraction form
    284,409.11/392,451 = 157,077.11/x
  3. Step 3: Cross multiply
    284,409.11x = 392,451 × 157,077.11
  4. Step 4: Simplify right side
    284,409.11x = 61,645,068,896.61
  5. Step 5: Solve for x
    x = 61,645,068,896.61/284,409.11
  6. Step 6: Final answer
    x = 216,747.87

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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.