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Finding the Fourth Proportional to 404,821.20, 607,231.80 and 284,098.80

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Solution

The fourth proportional to 404,821.20, 607,231.80 and 284,098.80 is: 426,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,821.20 : 607,231.80 = 284,098.80 : x
  2. Step 2: Convert to fraction form
    404,821.20/607,231.80 = 284,098.80/x
  3. Step 3: Cross multiply
    404,821.20x = 607,231.80 × 284,098.80
  4. Step 4: Simplify right side
    404,821.20x = 172,513,825,701.84
  5. Step 5: Solve for x
    x = 172,513,825,701.84/404,821.20
  6. Step 6: Final answer
    x = 426,148.20

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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.