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Finding the Fourth Proportional to 307,101.97, 423,801.57 and 178,065.73

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Solution

The fourth proportional to 307,101.97, 423,801.57 and 178,065.73 is: 245,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,101.97 : 423,801.57 = 178,065.73 : x
  2. Step 2: Convert to fraction form
    307,101.97/423,801.57 = 178,065.73/x
  3. Step 3: Cross multiply
    307,101.97x = 423,801.57 × 178,065.73
  4. Step 4: Simplify right side
    307,101.97x = 75,464,535,937.20
  5. Step 5: Solve for x
    x = 75,464,535,937.20/307,101.97
  6. Step 6: Final answer
    x = 245,731.20

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1.5x scale

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.