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Finding the Fourth Proportional to 309,641, 464,539.56 and 88,025

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Solution

The fourth proportional to 309,641, 464,539.56 and 88,025 is: 132,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,641 : 464,539.56 = 88,025 : x
  2. Step 2: Convert to fraction form
    309,641/464,539.56 = 88,025/x
  3. Step 3: Cross multiply
    309,641x = 464,539.56 × 88,025
  4. Step 4: Simplify right side
    309,641x = 40,891,094,769
  5. Step 5: Solve for x
    x = 40,891,094,769/309,641
  6. Step 6: Final answer
    x = 132,059.69

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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.