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Finding the Fourth Proportional to 413,098.40, 619,647.60 and 388,215.20

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Solution

The fourth proportional to 413,098.40, 619,647.60 and 388,215.20 is: 582,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,098.40 : 619,647.60 = 388,215.20 : x
  2. Step 2: Convert to fraction form
    413,098.40/619,647.60 = 388,215.20/x
  3. Step 3: Cross multiply
    413,098.40x = 619,647.60 × 388,215.20
  4. Step 4: Simplify right side
    413,098.40x = 240,556,616,963.52
  5. Step 5: Solve for x
    x = 240,556,616,963.52/413,098.40
  6. Step 6: Final answer
    x = 582,322.80

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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.