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Finding the Fourth Proportional to 284,149.39, 392,023.40 and 218,758.32

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Solution

The fourth proportional to 284,149.39, 392,023.40 and 218,758.32 is: 301,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,149.39 : 392,023.40 = 218,758.32 : x
  2. Step 2: Convert to fraction form
    284,149.39/392,023.40 = 218,758.32/x
  3. Step 3: Cross multiply
    284,149.39x = 392,023.40 × 218,758.32
  4. Step 4: Simplify right side
    284,149.39x = 85,758,379,290.90
  5. Step 5: Solve for x
    x = 85,758,379,290.90/284,149.39
  6. Step 6: Final answer
    x = 301,807.36

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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.