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Finding the Fourth Proportional to 297,046.20, 445,569.30 and 157,078.20

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Solution

The fourth proportional to 297,046.20, 445,569.30 and 157,078.20 is: 235,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,046.20 : 445,569.30 = 157,078.20 : x
  2. Step 2: Convert to fraction form
    297,046.20/445,569.30 = 157,078.20/x
  3. Step 3: Cross multiply
    297,046.20x = 445,569.30 × 157,078.20
  4. Step 4: Simplify right side
    297,046.20x = 69,989,223,619.26
  5. Step 5: Solve for x
    x = 69,989,223,619.26/297,046.20
  6. Step 6: Final answer
    x = 235,617.30

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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.