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Finding the Fourth Proportional to 309,616, 464,429.76 and 88,005.76

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Solution

The fourth proportional to 309,616, 464,429.76 and 88,005.76 is: 132,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,616 : 464,429.76 = 88,005.76 : x
  2. Step 2: Convert to fraction form
    309,616/464,429.76 = 88,005.76/x
  3. Step 3: Cross multiply
    309,616x = 464,429.76 × 88,005.76
  4. Step 4: Simplify right side
    309,616x = 40,872,493,995.42
  5. Step 5: Solve for x
    x = 40,872,493,995.42/309,616
  6. Step 6: Final answer
    x = 132,010.28

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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.