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Finding the Fourth Proportional to 209,610.30, 314,415.45 and 168,138.30

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Solution

The fourth proportional to 209,610.30, 314,415.45 and 168,138.30 is: 252,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,610.30 : 314,415.45 = 168,138.30 : x
  2. Step 2: Convert to fraction form
    209,610.30/314,415.45 = 168,138.30/x
  3. Step 3: Cross multiply
    209,610.30x = 314,415.45 × 168,138.30
  4. Step 4: Simplify right side
    209,610.30x = 52,865,279,256.74
  5. Step 5: Solve for x
    x = 52,865,279,256.74/209,610.30
  6. Step 6: Final answer
    x = 252,207.45

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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.