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Finding the Fourth Proportional to 448,081.80, 672,122.70 and 421,816.20

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Solution

The fourth proportional to 448,081.80, 672,122.70 and 421,816.20 is: 632,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,081.80 : 672,122.70 = 421,816.20 : x
  2. Step 2: Convert to fraction form
    448,081.80/672,122.70 = 421,816.20/x
  3. Step 3: Cross multiply
    448,081.80x = 672,122.70 × 421,816.20
  4. Step 4: Simplify right side
    448,081.80x = 283,512,243,247.74
  5. Step 5: Solve for x
    x = 283,512,243,247.74/448,081.80
  6. Step 6: Final answer
    x = 632,724.30

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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.