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Finding the Fourth Proportional to 286,469.84, 429,004.92 and 247,278.80

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Solution

The fourth proportional to 286,469.84, 429,004.92 and 247,278.80 is: 370,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,469.84 : 429,004.92 = 247,278.80 : x
  2. Step 2: Convert to fraction form
    286,469.84/429,004.92 = 247,278.80/x
  3. Step 3: Cross multiply
    286,469.84x = 429,004.92 × 247,278.80
  4. Step 4: Simplify right side
    286,469.84x = 106,083,821,811.70
  5. Step 5: Solve for x
    x = 106,083,821,811.70/286,469.84
  6. Step 6: Final answer
    x = 370,314.10

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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.