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Finding the Fourth Proportional to 432,897.50, 649,357.62 and 205,139.72

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Solution

The fourth proportional to 432,897.50, 649,357.62 and 205,139.72 is: 307,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,897.50 : 649,357.62 = 205,139.72 : x
  2. Step 2: Convert to fraction form
    432,897.50/649,357.62 = 205,139.72/x
  3. Step 3: Cross multiply
    432,897.50x = 649,357.62 × 205,139.72
  4. Step 4: Simplify right side
    432,897.50x = 133,209,040,346.67
  5. Step 5: Solve for x
    x = 133,209,040,346.67/432,897.50
  6. Step 6: Final answer
    x = 307,714.97

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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.