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Finding the Fourth Proportional to 471,970.80, 707,956.20 and 139,546.80

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Solution

The fourth proportional to 471,970.80, 707,956.20 and 139,546.80 is: 209,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,970.80 : 707,956.20 = 139,546.80 : x
  2. Step 2: Convert to fraction form
    471,970.80/707,956.20 = 139,546.80/x
  3. Step 3: Cross multiply
    471,970.80x = 707,956.20 × 139,546.80
  4. Step 4: Simplify right side
    471,970.80x = 98,793,022,250.16
  5. Step 5: Solve for x
    x = 98,793,022,250.16/471,970.80
  6. Step 6: Final answer
    x = 209,320.20

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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.