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Finding the Fourth Proportional to 472,980.80, 709,471.20 and 449,652.80

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Solution

The fourth proportional to 472,980.80, 709,471.20 and 449,652.80 is: 674,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,980.80 : 709,471.20 = 449,652.80 : x
  2. Step 2: Convert to fraction form
    472,980.80/709,471.20 = 449,652.80/x
  3. Step 3: Cross multiply
    472,980.80x = 709,471.20 × 449,652.80
  4. Step 4: Simplify right side
    472,980.80x = 319,015,711,599.36
  5. Step 5: Solve for x
    x = 319,015,711,599.36/472,980.80
  6. Step 6: Final answer
    x = 674,479.20

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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.