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Finding the Fourth Proportional to 209,348.64, 314,657.34 and 138,512.88

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Solution

The fourth proportional to 209,348.64, 314,657.34 and 138,512.88 is: 208,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,348.64 : 314,657.34 = 138,512.88 : x
  2. Step 2: Convert to fraction form
    209,348.64/314,657.34 = 138,512.88/x
  3. Step 3: Cross multiply
    209,348.64x = 314,657.34 × 138,512.88
  4. Step 4: Simplify right side
    209,348.64x = 43,584,094,376.54
  5. Step 5: Solve for x
    x = 43,584,094,376.54/209,348.64
  6. Step 6: Final answer
    x = 208,189.05

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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.