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Finding the Fourth Proportional to 314,620.80, 472,238.40 and 157,027.20

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Solution

The fourth proportional to 314,620.80, 472,238.40 and 157,027.20 is: 235,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,620.80 : 472,238.40 = 157,027.20 : x
  2. Step 2: Convert to fraction form
    314,620.80/472,238.40 = 157,027.20/x
  3. Step 3: Cross multiply
    314,620.80x = 472,238.40 × 157,027.20
  4. Step 4: Simplify right side
    314,620.80x = 74,154,273,684.48
  5. Step 5: Solve for x
    x = 74,154,273,684.48/314,620.80
  6. Step 6: Final answer
    x = 235,694.12

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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.