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Finding the Fourth Proportional to 810,771, 1,216,353.36 and 249,805.48

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Solution

The fourth proportional to 810,771, 1,216,353.36 and 249,805.48 is: 374,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,771 : 1,216,353.36 = 249,805.48 : x
  2. Step 2: Convert to fraction form
    810,771/1,216,353.36 = 249,805.48/x
  3. Step 3: Cross multiply
    810,771x = 1,216,353.36 × 249,805.48
  4. Step 4: Simplify right side
    810,771x = 303,851,734,944.41
  5. Step 5: Solve for x
    x = 303,851,734,944.41/810,771
  6. Step 6: Final answer
    x = 374,768.87

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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.