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Finding the Fourth Proportional to 389,141.24, 583,713.48 and 108,657.68

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Solution

The fourth proportional to 389,141.24, 583,713.48 and 108,657.68 is: 162,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,141.24 : 583,713.48 = 108,657.68 : x
  2. Step 2: Convert to fraction form
    389,141.24/583,713.48 = 108,657.68/x
  3. Step 3: Cross multiply
    389,141.24x = 583,713.48 × 108,657.68
  4. Step 4: Simplify right side
    389,141.24x = 63,424,952,521.53
  5. Step 5: Solve for x
    x = 63,424,952,521.53/389,141.24
  6. Step 6: Final answer
    x = 162,986.97

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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.