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Finding the Fourth Proportional to 305,013.90, 420,919.23 and 169,056.62

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Solution

The fourth proportional to 305,013.90, 420,919.23 and 169,056.62 is: 233,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,013.90 : 420,919.23 = 169,056.62 : x
  2. Step 2: Convert to fraction form
    305,013.90/420,919.23 = 169,056.62/x
  3. Step 3: Cross multiply
    305,013.90x = 420,919.23 × 169,056.62
  4. Step 4: Simplify right side
    305,013.90x = 71,159,180,212.21
  5. Step 5: Solve for x
    x = 71,159,180,212.21/305,013.90
  6. Step 6: Final answer
    x = 233,298.16

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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.