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Finding the Fourth Proportional to 305,711.86, 421,883.18 and 169,746.06

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Solution

The fourth proportional to 305,711.86, 421,883.18 and 169,746.06 is: 234,250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,711.86 : 421,883.18 = 169,746.06 : x
  2. Step 2: Convert to fraction form
    305,711.86/421,883.18 = 169,746.06/x
  3. Step 3: Cross multiply
    305,711.86x = 421,883.18 × 169,746.06
  4. Step 4: Simplify right side
    305,711.86x = 71,613,007,585.27
  5. Step 5: Solve for x
    x = 71,613,007,585.27/305,711.86
  6. Step 6: Final answer
    x = 234,250.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.