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Finding the Fourth Proportional to 970,711, 1,456,140.12 and 330,815.80

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Solution

The fourth proportional to 970,711, 1,456,140.12 and 330,815.80 is: 496,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,711 : 1,456,140.12 = 330,815.80 : x
  2. Step 2: Convert to fraction form
    970,711/1,456,140.12 = 330,815.80/x
  3. Step 3: Cross multiply
    970,711x = 1,456,140.12 × 330,815.80
  4. Step 4: Simplify right side
    970,711x = 481,714,158,709.90
  5. Step 5: Solve for x
    x = 481,714,158,709.90/970,711
  6. Step 6: Final answer
    x = 496,248.79

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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.