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Finding the Fourth Proportional to 284,713.32, 392,884.59 and 157,378.89

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Solution

The fourth proportional to 284,713.32, 392,884.59 and 157,378.89 is: 217,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,713.32 : 392,884.59 = 157,378.89 : x
  2. Step 2: Convert to fraction form
    284,713.32/392,884.59 = 157,378.89/x
  3. Step 3: Cross multiply
    284,713.32x = 392,884.59 × 157,378.89
  4. Step 4: Simplify right side
    284,713.32x = 61,831,740,672.31
  5. Step 5: Solve for x
    x = 61,831,740,672.31/284,713.32
  6. Step 6: Final answer
    x = 217,171.93

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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.