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Finding the Fourth Proportional to 209,279.78, 313,920.89 and 51,507.17

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Solution

The fourth proportional to 209,279.78, 313,920.89 and 51,507.17 is: 77,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,279.78 : 313,920.89 = 51,507.17 : x
  2. Step 2: Convert to fraction form
    209,279.78/313,920.89 = 51,507.17/x
  3. Step 3: Cross multiply
    209,279.78x = 313,920.89 × 51,507.17
  4. Step 4: Simplify right side
    209,279.78x = 16,169,176,390.25
  5. Step 5: Solve for x
    x = 16,169,176,390.25/209,279.78
  6. Step 6: Final answer
    x = 77,261.05

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1.5x scale

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.