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Finding the Fourth Proportional to 284,455.80, 392,785.20 and 189,394.20

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Solution

The fourth proportional to 284,455.80, 392,785.20 and 189,394.20 is: 261,521.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,455.80 : 392,785.20 = 189,394.20 : x
  2. Step 2: Convert to fraction form
    284,455.80/392,785.20 = 189,394.20/x
  3. Step 3: Cross multiply
    284,455.80x = 392,785.20 × 189,394.20
  4. Step 4: Simplify right side
    284,455.80x = 74,391,238,725.84
  5. Step 5: Solve for x
    x = 74,391,238,725.84/284,455.80
  6. Step 6: Final answer
    x = 261,521.26

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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.