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Finding the Fourth Proportional to 305,010.90, 420,915.08 and 169,053.62

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Solution

The fourth proportional to 305,010.90, 420,915.08 and 169,053.62 is: 233,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,010.90 : 420,915.08 = 169,053.62 : x
  2. Step 2: Convert to fraction form
    305,010.90/420,915.08 = 169,053.62/x
  3. Step 3: Cross multiply
    305,010.90x = 420,915.08 × 169,053.62
  4. Step 4: Simplify right side
    305,010.90x = 71,157,216,304.65
  5. Step 5: Solve for x
    x = 71,157,216,304.65/305,010.90
  6. Step 6: Final answer
    x = 233,294.01

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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.