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Finding the Fourth Proportional to 305,620.47, 421,800.11 and 183,117.69

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Solution

The fourth proportional to 305,620.47, 421,800.11 and 183,117.69 is: 252,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,620.47 : 421,800.11 = 183,117.69 : x
  2. Step 2: Convert to fraction form
    305,620.47/421,800.11 = 183,117.69/x
  3. Step 3: Cross multiply
    305,620.47x = 421,800.11 × 183,117.69
  4. Step 4: Simplify right side
    305,620.47x = 77,239,060,869.36
  5. Step 5: Solve for x
    x = 77,239,060,869.36/305,620.47
  6. Step 6: Final answer
    x = 252,728.69

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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.