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Finding the Fourth Proportional to 432,081.80, 648,122.70 and 405,816.20

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Solution

The fourth proportional to 432,081.80, 648,122.70 and 405,816.20 is: 608,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,081.80 : 648,122.70 = 405,816.20 : x
  2. Step 2: Convert to fraction form
    432,081.80/648,122.70 = 405,816.20/x
  3. Step 3: Cross multiply
    432,081.80x = 648,122.70 × 405,816.20
  4. Step 4: Simplify right side
    432,081.80x = 263,018,691,247.74
  5. Step 5: Solve for x
    x = 263,018,691,247.74/432,081.80
  6. Step 6: Final answer
    x = 608,724.30

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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.