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Finding the Fourth Proportional to 287,950.59, 431,896.71 and 77,609.79

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Solution

The fourth proportional to 287,950.59, 431,896.71 and 77,609.79 is: 116,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,950.59 : 431,896.71 = 77,609.79 : x
  2. Step 2: Convert to fraction form
    287,950.59/431,896.71 = 77,609.79/x
  3. Step 3: Cross multiply
    287,950.59x = 431,896.71 × 77,609.79
  4. Step 4: Simplify right side
    287,950.59x = 33,519,412,964.79
  5. Step 5: Solve for x
    x = 33,519,412,964.79/287,950.59
  6. Step 6: Final answer
    x = 116,406.82

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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.