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Finding the Fourth Proportional to 261,784.40, 392,791.80 and 121,470.80

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Solution

The fourth proportional to 261,784.40, 392,791.80 and 121,470.80 is: 182,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,784.40 : 392,791.80 = 121,470.80 : x
  2. Step 2: Convert to fraction form
    261,784.40/392,791.80 = 121,470.80/x
  3. Step 3: Cross multiply
    261,784.40x = 392,791.80 × 121,470.80
  4. Step 4: Simplify right side
    261,784.40x = 47,712,734,179.44
  5. Step 5: Solve for x
    x = 47,712,734,179.44/261,784.40
  6. Step 6: Final answer
    x = 182,259.65

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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.