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Finding the Fourth Proportional to 432,494.06, 648,803.10 and 132,999.80

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Solution

The fourth proportional to 432,494.06, 648,803.10 and 132,999.80 is: 199,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,494.06 : 648,803.10 = 132,999.80 : x
  2. Step 2: Convert to fraction form
    432,494.06/648,803.10 = 132,999.80/x
  3. Step 3: Cross multiply
    432,494.06x = 648,803.10 × 132,999.80
  4. Step 4: Simplify right side
    432,494.06x = 86,290,682,539.38
  5. Step 5: Solve for x
    x = 86,290,682,539.38/432,494.06
  6. Step 6: Final answer
    x = 199,518.77

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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.