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Finding the Fourth Proportional to 317,328.20, 475,978.80 and 106,965.80

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Solution

The fourth proportional to 317,328.20, 475,978.80 and 106,965.80 is: 160,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,328.20 : 475,978.80 = 106,965.80 : x
  2. Step 2: Convert to fraction form
    317,328.20/475,978.80 = 106,965.80/x
  3. Step 3: Cross multiply
    317,328.20x = 475,978.80 × 106,965.80
  4. Step 4: Simplify right side
    317,328.20x = 50,913,453,125.04
  5. Step 5: Solve for x
    x = 50,913,453,125.04/317,328.20
  6. Step 6: Final answer
    x = 160,444.15

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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.