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Finding the Fourth Proportional to 287,751.66, 431,468.73 and 154,594.14

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Solution

The fourth proportional to 287,751.66, 431,468.73 and 154,594.14 is: 231,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,751.66 : 431,468.73 = 154,594.14 : x
  2. Step 2: Convert to fraction form
    287,751.66/431,468.73 = 154,594.14/x
  3. Step 3: Cross multiply
    287,751.66x = 431,468.73 × 154,594.14
  4. Step 4: Simplify right side
    287,751.66x = 66,702,537,251.24
  5. Step 5: Solve for x
    x = 66,702,537,251.24/287,751.66
  6. Step 6: Final answer
    x = 231,805.92

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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.