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Finding the Fourth Proportional to 284,725.60, 392,904.44 and 157,393.60

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Solution

The fourth proportional to 284,725.60, 392,904.44 and 157,393.60 is: 217,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,725.60 : 392,904.44 = 157,393.60 : x
  2. Step 2: Convert to fraction form
    284,725.60/392,904.44 = 157,393.60/x
  3. Step 3: Cross multiply
    284,725.60x = 392,904.44 × 157,393.60
  4. Step 4: Simplify right side
    284,725.60x = 61,840,644,267.58
  5. Step 5: Solve for x
    x = 61,840,644,267.58/284,725.60
  6. Step 6: Final answer
    x = 217,193.83

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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.