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Finding the Fourth Proportional to 284,464.59, 392,546.70 and 157,115.58

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Solution

The fourth proportional to 284,464.59, 392,546.70 and 157,115.58 is: 216,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,464.59 : 392,546.70 = 157,115.58 : x
  2. Step 2: Convert to fraction form
    284,464.59/392,546.70 = 157,115.58/x
  3. Step 3: Cross multiply
    284,464.59x = 392,546.70 × 157,115.58
  4. Step 4: Simplify right side
    284,464.59x = 61,675,202,447.59
  5. Step 5: Solve for x
    x = 61,675,202,447.59/284,464.59
  6. Step 6: Final answer
    x = 216,811.53

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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.