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Finding the Fourth Proportional to 432,864.40, 649,296.60 and 243,907.60

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Solution

The fourth proportional to 432,864.40, 649,296.60 and 243,907.60 is: 365,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,864.40 : 649,296.60 = 243,907.60 : x
  2. Step 2: Convert to fraction form
    432,864.40/649,296.60 = 243,907.60/x
  3. Step 3: Cross multiply
    432,864.40x = 649,296.60 × 243,907.60
  4. Step 4: Simplify right side
    432,864.40x = 158,368,375,394.16
  5. Step 5: Solve for x
    x = 158,368,375,394.16/432,864.40
  6. Step 6: Final answer
    x = 365,861.40

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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.