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Finding the Fourth Proportional to 287,889.76, 431,833.96 and 77,527.88

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Solution

The fourth proportional to 287,889.76, 431,833.96 and 77,527.88 is: 116,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,889.76 : 431,833.96 = 77,527.88 : x
  2. Step 2: Convert to fraction form
    287,889.76/431,833.96 = 77,527.88/x
  3. Step 3: Cross multiply
    287,889.76x = 431,833.96 × 77,527.88
  4. Step 4: Simplify right side
    287,889.76x = 33,479,171,430.80
  5. Step 5: Solve for x
    x = 33,479,171,430.80/287,889.76
  6. Step 6: Final answer
    x = 116,291.64

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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.