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Finding the Fourth Proportional to 431,502.33, 648,672.43 and 400,289.20

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Solution

The fourth proportional to 431,502.33, 648,672.43 and 400,289.20 is: 601,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,502.33 : 648,672.43 = 400,289.20 : x
  2. Step 2: Convert to fraction form
    431,502.33/648,672.43 = 400,289.20/x
  3. Step 3: Cross multiply
    431,502.33x = 648,672.43 × 400,289.20
  4. Step 4: Simplify right side
    431,502.33x = 259,656,571,232.50
  5. Step 5: Solve for x
    x = 259,656,571,232.50/431,502.33
  6. Step 6: Final answer
    x = 601,750.11

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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.