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Finding the Fourth Proportional to 853,209, 1,280,024.00 and 254,167.83

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Solution

The fourth proportional to 853,209, 1,280,024.00 and 254,167.83 is: 381,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,209 : 1,280,024.00 = 254,167.83 : x
  2. Step 2: Convert to fraction form
    853,209/1,280,024.00 = 254,167.83/x
  3. Step 3: Cross multiply
    853,209x = 1,280,024.00 × 254,167.83
  4. Step 4: Simplify right side
    853,209x = 325,340,923,063.34
  5. Step 5: Solve for x
    x = 325,340,923,063.34/853,209
  6. Step 6: Final answer
    x = 381,314.45

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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.