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Finding the Fourth Proportional to 309,298.88, 463,948.31 and 75,826.88

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Solution

The fourth proportional to 309,298.88, 463,948.31 and 75,826.88 is: 113,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,298.88 : 463,948.31 = 75,826.88 : x
  2. Step 2: Convert to fraction form
    309,298.88/463,948.31 = 75,826.88/x
  3. Step 3: Cross multiply
    309,298.88x = 463,948.31 × 75,826.88
  4. Step 4: Simplify right side
    309,298.88x = 35,179,750,698.40
  5. Step 5: Solve for x
    x = 35,179,750,698.40/309,298.88
  6. Step 6: Final answer
    x = 113,740.31

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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.