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Finding the Fourth Proportional to 314,720.28, 472,197 and 146,331

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Solution

The fourth proportional to 314,720.28, 472,197 and 146,331 is: 219,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,720.28 : 472,197 = 146,331 : x
  2. Step 2: Convert to fraction form
    314,720.28/472,197 = 146,331/x
  3. Step 3: Cross multiply
    314,720.28x = 472,197 × 146,331
  4. Step 4: Simplify right side
    314,720.28x = 69,097,059,207
  5. Step 5: Solve for x
    x = 69,097,059,207/314,720.28
  6. Step 6: Final answer
    x = 219,550.70

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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.