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Finding the Fourth Proportional to 432,898.50, 649,359.12 and 205,140.72

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Solution

The fourth proportional to 432,898.50, 649,359.12 and 205,140.72 is: 307,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,898.50 : 649,359.12 = 205,140.72 : x
  2. Step 2: Convert to fraction form
    432,898.50/649,359.12 = 205,140.72/x
  3. Step 3: Cross multiply
    432,898.50x = 649,359.12 × 205,140.72
  4. Step 4: Simplify right side
    432,898.50x = 133,209,997,415.37
  5. Step 5: Solve for x
    x = 133,209,997,415.37/432,898.50
  6. Step 6: Final answer
    x = 307,716.47

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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.