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Finding the Fourth Proportional to 287,394.02, 431,143.31 and 97,844.69

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Solution

The fourth proportional to 287,394.02, 431,143.31 and 97,844.69 is: 146,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,394.02 : 431,143.31 = 97,844.69 : x
  2. Step 2: Convert to fraction form
    287,394.02/431,143.31 = 97,844.69/x
  3. Step 3: Cross multiply
    287,394.02x = 431,143.31 × 97,844.69
  4. Step 4: Simplify right side
    287,394.02x = 42,185,083,512.52
  5. Step 5: Solve for x
    x = 42,185,083,512.52/287,394.02
  6. Step 6: Final answer
    x = 146,784.83

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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.