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Finding the Fourth Proportional to 287,114.81, 430,639.41 and 76,769.15

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Solution

The fourth proportional to 287,114.81, 430,639.41 and 76,769.15 is: 115,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,114.81 : 430,639.41 = 76,769.15 : x
  2. Step 2: Convert to fraction form
    287,114.81/430,639.41 = 76,769.15/x
  3. Step 3: Cross multiply
    287,114.81x = 430,639.41 × 76,769.15
  4. Step 4: Simplify right side
    287,114.81x = 33,059,821,462.20
  5. Step 5: Solve for x
    x = 33,059,821,462.20/287,114.81
  6. Step 6: Final answer
    x = 115,144.95

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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.