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Finding the Fourth Proportional to 432,814.32, 649,352.70 and 208,111.01

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Solution

The fourth proportional to 432,814.32, 649,352.70 and 208,111.01 is: 312,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,814.32 : 649,352.70 = 208,111.01 : x
  2. Step 2: Convert to fraction form
    432,814.32/649,352.70 = 208,111.01/x
  3. Step 3: Cross multiply
    432,814.32x = 649,352.70 × 208,111.01
  4. Step 4: Simplify right side
    432,814.32x = 135,137,442,996.46
  5. Step 5: Solve for x
    x = 135,137,442,996.46/432,814.32
  6. Step 6: Final answer
    x = 312,229.60

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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.