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Finding the Fourth Proportional to 313,165.28, 469,746.32 and 76,509.28

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Solution

The fourth proportional to 313,165.28, 469,746.32 and 76,509.28 is: 114,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,165.28 : 469,746.32 = 76,509.28 : x
  2. Step 2: Convert to fraction form
    313,165.28/469,746.32 = 76,509.28/x
  3. Step 3: Cross multiply
    313,165.28x = 469,746.32 × 76,509.28
  4. Step 4: Simplify right side
    313,165.28x = 35,939,952,725.85
  5. Step 5: Solve for x
    x = 35,939,952,725.85/313,165.28
  6. Step 6: Final answer
    x = 114,763.53

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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.