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Finding the Fourth Proportional to 389,689.60, 584,764.80 and 284,243.20

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Solution

The fourth proportional to 389,689.60, 584,764.80 and 284,243.20 is: 426,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,689.60 : 584,764.80 = 284,243.20 : x
  2. Step 2: Convert to fraction form
    389,689.60/584,764.80 = 284,243.20/x
  3. Step 3: Cross multiply
    389,689.60x = 584,764.80 × 284,243.20
  4. Step 4: Simplify right side
    389,689.60x = 166,215,417,999.36
  5. Step 5: Solve for x
    x = 166,215,417,999.36/389,689.60
  6. Step 6: Final answer
    x = 426,532.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.