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Finding the Fourth Proportional to 801,762.48, 1,202,642.64 and 328,448.64

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Solution

The fourth proportional to 801,762.48, 1,202,642.64 and 328,448.64 is: 492,672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,762.48 : 1,202,642.64 = 328,448.64 : x
  2. Step 2: Convert to fraction form
    801,762.48/1,202,642.64 = 328,448.64/x
  3. Step 3: Cross multiply
    801,762.48x = 1,202,642.64 × 328,448.64
  4. Step 4: Simplify right side
    801,762.48x = 395,006,339,514.01
  5. Step 5: Solve for x
    x = 395,006,339,514.01/801,762.48
  6. Step 6: Final answer
    x = 492,672.52

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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.