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Finding the Fourth Proportional to 287,760.60, 431,640.23 and 77,398.74

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Solution

The fourth proportional to 287,760.60, 431,640.23 and 77,398.74 is: 116,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,760.60 : 431,640.23 = 77,398.74 : x
  2. Step 2: Convert to fraction form
    287,760.60/431,640.23 = 77,398.74/x
  3. Step 3: Cross multiply
    287,760.60x = 431,640.23 × 77,398.74
  4. Step 4: Simplify right side
    287,760.60x = 33,408,409,548.32
  5. Step 5: Solve for x
    x = 33,408,409,548.32/287,760.60
  6. Step 6: Final answer
    x = 116,097.93

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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.