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Finding the Fourth Proportional to 287,466.42, 431,425.62 and 199,340.04

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Solution

The fourth proportional to 287,466.42, 431,425.62 and 199,340.04 is: 299,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,466.42 : 431,425.62 = 199,340.04 : x
  2. Step 2: Convert to fraction form
    287,466.42/431,425.62 = 199,340.04/x
  3. Step 3: Cross multiply
    287,466.42x = 431,425.62 × 199,340.04
  4. Step 4: Simplify right side
    287,466.42x = 86,000,400,347.82
  5. Step 5: Solve for x
    x = 86,000,400,347.82/287,466.42
  6. Step 6: Final answer
    x = 299,166.77

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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.