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Finding the Fourth Proportional to 234,904.42, 324,307.31 and 154,470.65

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Solution

The fourth proportional to 234,904.42, 324,307.31 and 154,470.65 is: 213,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,904.42 : 324,307.31 = 154,470.65 : x
  2. Step 2: Convert to fraction form
    234,904.42/324,307.31 = 154,470.65/x
  3. Step 3: Cross multiply
    234,904.42x = 324,307.31 × 154,470.65
  4. Step 4: Simplify right side
    234,904.42x = 50,095,961,013.87
  5. Step 5: Solve for x
    x = 50,095,961,013.87/234,904.42
  6. Step 6: Final answer
    x = 213,261.04

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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.