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Finding the Fourth Proportional to 314,867.80, 472,301.70 and 115,194.70

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Solution

The fourth proportional to 314,867.80, 472,301.70 and 115,194.70 is: 172,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,867.80 : 472,301.70 = 115,194.70 : x
  2. Step 2: Convert to fraction form
    314,867.80/472,301.70 = 115,194.70/x
  3. Step 3: Cross multiply
    314,867.80x = 472,301.70 × 115,194.70
  4. Step 4: Simplify right side
    314,867.80x = 54,406,652,640.99
  5. Step 5: Solve for x
    x = 54,406,652,640.99/314,867.80
  6. Step 6: Final answer
    x = 172,792.05

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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.