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Finding the Fourth Proportional to 389,601.54, 584,424.54 and 109,140.66

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Solution

The fourth proportional to 389,601.54, 584,424.54 and 109,140.66 is: 163,717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,601.54 : 584,424.54 = 109,140.66 : x
  2. Step 2: Convert to fraction form
    389,601.54/584,424.54 = 109,140.66/x
  3. Step 3: Cross multiply
    389,601.54x = 584,424.54 × 109,140.66
  4. Step 4: Simplify right side
    389,601.54x = 63,784,480,015.80
  5. Step 5: Solve for x
    x = 63,784,480,015.80/389,601.54
  6. Step 6: Final answer
    x = 163,717.22

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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.