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Finding the Fourth Proportional to 432,858.10, 649,287.15 and 401,365.30

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Solution

The fourth proportional to 432,858.10, 649,287.15 and 401,365.30 is: 602,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,858.10 : 649,287.15 = 401,365.30 : x
  2. Step 2: Convert to fraction form
    432,858.10/649,287.15 = 401,365.30/x
  3. Step 3: Cross multiply
    432,858.10x = 649,287.15 × 401,365.30
  4. Step 4: Simplify right side
    432,858.10x = 260,601,331,745.90
  5. Step 5: Solve for x
    x = 260,601,331,745.90/432,858.10
  6. Step 6: Final answer
    x = 602,047.95

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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.