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Finding the Fourth Proportional to 287,454.42, 431,407.62 and 199,328.04

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Solution

The fourth proportional to 287,454.42, 431,407.62 and 199,328.04 is: 299,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,454.42 : 431,407.62 = 199,328.04 : x
  2. Step 2: Convert to fraction form
    287,454.42/431,407.62 = 199,328.04/x
  3. Step 3: Cross multiply
    287,454.42x = 431,407.62 × 199,328.04
  4. Step 4: Simplify right side
    287,454.42x = 85,991,635,335.66
  5. Step 5: Solve for x
    x = 85,991,635,335.66/287,454.42
  6. Step 6: Final answer
    x = 299,148.77

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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.