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Finding the Fourth Proportional to 411,934.60, 618,290.70 and 254,470.60

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Solution

The fourth proportional to 411,934.60, 618,290.70 and 254,470.60 is: 381,946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,934.60 : 618,290.70 = 254,470.60 : x
  2. Step 2: Convert to fraction form
    411,934.60/618,290.70 = 254,470.60/x
  3. Step 3: Cross multiply
    411,934.60x = 618,290.70 × 254,470.60
  4. Step 4: Simplify right side
    411,934.60x = 157,336,805,403.42
  5. Step 5: Solve for x
    x = 157,336,805,403.42/411,934.60
  6. Step 6: Final answer
    x = 381,946.08

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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.