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Finding the Fourth Proportional to 287,135.93, 430,670.94 and 76,790.27

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Solution

The fourth proportional to 287,135.93, 430,670.94 and 76,790.27 is: 115,176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,135.93 : 430,670.94 = 76,790.27 : x
  2. Step 2: Convert to fraction form
    287,135.93/430,670.94 = 76,790.27/x
  3. Step 3: Cross multiply
    287,135.93x = 430,670.94 × 76,790.27
  4. Step 4: Simplify right side
    287,135.93x = 33,071,337,763.75
  5. Step 5: Solve for x
    x = 33,071,337,763.75/287,135.93
  6. Step 6: Final answer
    x = 115,176.59

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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.