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Finding the Fourth Proportional to 305,110.50, 421,013.52 and 169,143.18

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Solution

The fourth proportional to 305,110.50, 421,013.52 and 169,143.18 is: 233,395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,110.50 : 421,013.52 = 169,143.18 : x
  2. Step 2: Convert to fraction form
    305,110.50/421,013.52 = 169,143.18/x
  3. Step 3: Cross multiply
    305,110.50x = 421,013.52 × 169,143.18
  4. Step 4: Simplify right side
    305,110.50x = 71,211,565,595.79
  5. Step 5: Solve for x
    x = 71,211,565,595.79/305,110.50
  6. Step 6: Final answer
    x = 233,395.98

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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.