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Finding the Fourth Proportional to 550,511.40, 825,767.10 and 510,653.33

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Solution

The fourth proportional to 550,511.40, 825,767.10 and 510,653.33 is: 765,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,511.40 : 825,767.10 = 510,653.33 : x
  2. Step 2: Convert to fraction form
    550,511.40/825,767.10 = 510,653.33/x
  3. Step 3: Cross multiply
    550,511.40x = 825,767.10 × 510,653.33
  4. Step 4: Simplify right side
    550,511.40x = 421,680,715,290.61
  5. Step 5: Solve for x
    x = 421,680,715,290.61/550,511.40
  6. Step 6: Final answer
    x = 765,979.99

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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.