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Finding the Fourth Proportional to 261,978.93, 361,509.35 and 154,553.49

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Solution

The fourth proportional to 261,978.93, 361,509.35 and 154,553.49 is: 213,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,978.93 : 361,509.35 = 154,553.49 : x
  2. Step 2: Convert to fraction form
    261,978.93/361,509.35 = 154,553.49/x
  3. Step 3: Cross multiply
    261,978.93x = 361,509.35 × 154,553.49
  4. Step 4: Simplify right side
    261,978.93x = 55,872,530,937.36
  5. Step 5: Solve for x
    x = 55,872,530,937.36/261,978.93
  6. Step 6: Final answer
    x = 213,271.09

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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.