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Finding the Fourth Proportional to 306,801.50, 423,382.02 and 168,977.78

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Solution

The fourth proportional to 306,801.50, 423,382.02 and 168,977.78 is: 233,187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,801.50 : 423,382.02 = 168,977.78 : x
  2. Step 2: Convert to fraction form
    306,801.50/423,382.02 = 168,977.78/x
  3. Step 3: Cross multiply
    306,801.50x = 423,382.02 × 168,977.78
  4. Step 4: Simplify right side
    306,801.50x = 71,542,153,831.52
  5. Step 5: Solve for x
    x = 71,542,153,831.52/306,801.50
  6. Step 6: Final answer
    x = 233,187.11

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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.