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Finding the Fourth Proportional to 287,451.78, 431,260.89 and 118,941

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Solution

The fourth proportional to 287,451.78, 431,260.89 and 118,941 is: 178,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,451.78 : 431,260.89 = 118,941 : x
  2. Step 2: Convert to fraction form
    287,451.78/431,260.89 = 118,941/x
  3. Step 3: Cross multiply
    287,451.78x = 431,260.89 × 118,941
  4. Step 4: Simplify right side
    287,451.78x = 51,294,601,517.49
  5. Step 5: Solve for x
    x = 51,294,601,517.49/287,451.78
  6. Step 6: Final answer
    x = 178,445.93

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1.5x scale

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.