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Finding the Fourth Proportional to 284,789.44, 392,920.63 and 189,312.31

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Solution

The fourth proportional to 284,789.44, 392,920.63 and 189,312.31 is: 261,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,789.44 : 392,920.63 = 189,312.31 : x
  2. Step 2: Convert to fraction form
    284,789.44/392,920.63 = 189,312.31/x
  3. Step 3: Cross multiply
    284,789.44x = 392,920.63 × 189,312.31
  4. Step 4: Simplify right side
    284,789.44x = 74,384,712,111.96
  5. Step 5: Solve for x
    x = 74,384,712,111.96/284,789.44
  6. Step 6: Final answer
    x = 261,191.96

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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.