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Finding the Fourth Proportional to 314,892.90, 472,448.70 and 137,527.20

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Solution

The fourth proportional to 314,892.90, 472,448.70 and 137,527.20 is: 206,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,892.90 : 472,448.70 = 137,527.20 : x
  2. Step 2: Convert to fraction form
    314,892.90/472,448.70 = 137,527.20/x
  3. Step 3: Cross multiply
    314,892.90x = 472,448.70 × 137,527.20
  4. Step 4: Simplify right side
    314,892.90x = 64,974,546,854.64
  5. Step 5: Solve for x
    x = 64,974,546,854.64/314,892.90
  6. Step 6: Final answer
    x = 206,338.56

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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.