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Finding the Fourth Proportional to 305,263.17, 421,234.96 and 169,294.61

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Solution

The fourth proportional to 305,263.17, 421,234.96 and 169,294.61 is: 233,610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,263.17 : 421,234.96 = 169,294.61 : x
  2. Step 2: Convert to fraction form
    305,263.17/421,234.96 = 169,294.61/x
  3. Step 3: Cross multiply
    305,263.17x = 421,234.96 × 169,294.61
  4. Step 4: Simplify right side
    305,263.17x = 71,312,808,271.57
  5. Step 5: Solve for x
    x = 71,312,808,271.57/305,263.17
  6. Step 6: Final answer
    x = 233,610.91

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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.