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Finding the Fourth Proportional to 576,410.40, 865,127.60 and 339,456.80

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Solution

The fourth proportional to 576,410.40, 865,127.60 and 339,456.80 is: 509,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,410.40 : 865,127.60 = 339,456.80 : x
  2. Step 2: Convert to fraction form
    576,410.40/865,127.60 = 339,456.80/x
  3. Step 3: Cross multiply
    576,410.40x = 865,127.60 × 339,456.80
  4. Step 4: Simplify right side
    576,410.40x = 293,673,446,687.68
  5. Step 5: Solve for x
    x = 293,673,446,687.68/576,410.40
  6. Step 6: Final answer
    x = 509,486.72

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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.