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Finding the Fourth Proportional to 274,347.78, 411,510.69 and 105,795.69

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Solution

The fourth proportional to 274,347.78, 411,510.69 and 105,795.69 is: 158,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,347.78 : 411,510.69 = 105,795.69 : x
  2. Step 2: Convert to fraction form
    274,347.78/411,510.69 = 105,795.69/x
  3. Step 3: Cross multiply
    274,347.78x = 411,510.69 × 105,795.69
  4. Step 4: Simplify right side
    274,347.78x = 43,536,057,390.93
  5. Step 5: Solve for x
    x = 43,536,057,390.93/274,347.78
  6. Step 6: Final answer
    x = 158,689.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.