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Finding the Fourth Proportional to 305,008.16, 420,899.79 and 169,044.41

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Solution

The fourth proportional to 305,008.16, 420,899.79 and 169,044.41 is: 233,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,008.16 : 420,899.79 = 169,044.41 : x
  2. Step 2: Convert to fraction form
    305,008.16/420,899.79 = 169,044.41/x
  3. Step 3: Cross multiply
    305,008.16x = 420,899.79 × 169,044.41
  4. Step 4: Simplify right side
    305,008.16x = 71,150,754,565.17
  5. Step 5: Solve for x
    x = 71,150,754,565.17/305,008.16
  6. Step 6: Final answer
    x = 233,274.93

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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.