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Finding the Fourth Proportional to 432,817.32, 649,357.20 and 208,114.01

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Solution

The fourth proportional to 432,817.32, 649,357.20 and 208,114.01 is: 312,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,817.32 : 649,357.20 = 208,114.01 : x
  2. Step 2: Convert to fraction form
    432,817.32/649,357.20 = 208,114.01/x
  3. Step 3: Cross multiply
    432,817.32x = 649,357.20 × 208,114.01
  4. Step 4: Simplify right side
    432,817.32x = 135,140,327,567.59
  5. Step 5: Solve for x
    x = 135,140,327,567.59/432,817.32
  6. Step 6: Final answer
    x = 312,234.10

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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.