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Finding the Fourth Proportional to 305,385.22, 421,432.68 and 169,421.86

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Solution

The fourth proportional to 305,385.22, 421,432.68 and 169,421.86 is: 233,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,385.22 : 421,432.68 = 169,421.86 : x
  2. Step 2: Convert to fraction form
    305,385.22/421,432.68 = 169,421.86/x
  3. Step 3: Cross multiply
    305,385.22x = 421,432.68 × 169,421.86
  4. Step 4: Simplify right side
    305,385.22x = 71,399,908,510.38
  5. Step 5: Solve for x
    x = 71,399,908,510.38/305,385.22
  6. Step 6: Final answer
    x = 233,802.76

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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.