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Finding the Fourth Proportional to 287,118.96, 430,645.61 and 76,773.30

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Solution

The fourth proportional to 287,118.96, 430,645.61 and 76,773.30 is: 115,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,118.96 : 430,645.61 = 76,773.30 : x
  2. Step 2: Convert to fraction form
    287,118.96/430,645.61 = 76,773.30/x
  3. Step 3: Cross multiply
    287,118.96x = 430,645.61 × 76,773.30
  4. Step 4: Simplify right side
    287,118.96x = 33,062,084,226.35
  5. Step 5: Solve for x
    x = 33,062,084,226.35/287,118.96
  6. Step 6: Final answer
    x = 115,151.17

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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.