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Finding the Fourth Proportional to 309,639, 464,536.56 and 88,023

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Solution

The fourth proportional to 309,639, 464,536.56 and 88,023 is: 132,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,639 : 464,536.56 = 88,023 : x
  2. Step 2: Convert to fraction form
    309,639/464,536.56 = 88,023/x
  3. Step 3: Cross multiply
    309,639x = 464,536.56 × 88,023
  4. Step 4: Simplify right side
    309,639x = 40,889,901,620.88
  5. Step 5: Solve for x
    x = 40,889,901,620.88/309,639
  6. Step 6: Final answer
    x = 132,056.69

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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.