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Finding the Fourth Proportional to 287,153.63, 430,730.41 and 76,786.10

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Solution

The fourth proportional to 287,153.63, 430,730.41 and 76,786.10 is: 115,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,153.63 : 430,730.41 = 76,786.10 : x
  2. Step 2: Convert to fraction form
    287,153.63/430,730.41 = 76,786.10/x
  3. Step 3: Cross multiply
    287,153.63x = 430,730.41 × 76,786.10
  4. Step 4: Simplify right side
    287,153.63x = 33,074,108,335.30
  5. Step 5: Solve for x
    x = 33,074,108,335.30/287,153.63
  6. Step 6: Final answer
    x = 115,179.14

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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.