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Finding the Fourth Proportional to 287,685.62, 431,527.82 and 77,323.56

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Solution

The fourth proportional to 287,685.62, 431,527.82 and 77,323.56 is: 115,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,685.62 : 431,527.82 = 77,323.56 : x
  2. Step 2: Convert to fraction form
    287,685.62/431,527.82 = 77,323.56/x
  3. Step 3: Cross multiply
    287,685.62x = 431,527.82 × 77,323.56
  4. Step 4: Simplify right side
    287,685.62x = 33,367,266,894.82
  5. Step 5: Solve for x
    x = 33,367,266,894.82/287,685.62
  6. Step 6: Final answer
    x = 115,985.17

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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.