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Finding the Fourth Proportional to 209,341.62, 314,646.84 and 138,505.86

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Solution

The fourth proportional to 209,341.62, 314,646.84 and 138,505.86 is: 208,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,341.62 : 314,646.84 = 138,505.86 : x
  2. Step 2: Convert to fraction form
    209,341.62/314,646.84 = 138,505.86/x
  3. Step 3: Cross multiply
    209,341.62x = 314,646.84 × 138,505.86
  4. Step 4: Simplify right side
    209,341.62x = 43,580,431,170.48
  5. Step 5: Solve for x
    x = 43,580,431,170.48/209,341.62
  6. Step 6: Final answer
    x = 208,178.53

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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.