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Finding the Fourth Proportional to 567,568.50, 783,249.93 and 312,928.80

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Solution

The fourth proportional to 567,568.50, 783,249.93 and 312,928.80 is: 431,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,568.50 : 783,249.93 = 312,928.80 : x
  2. Step 2: Convert to fraction form
    567,568.50/783,249.93 = 312,928.80/x
  3. Step 3: Cross multiply
    567,568.50x = 783,249.93 × 312,928.80
  4. Step 4: Simplify right side
    567,568.50x = 245,101,460,694.98
  5. Step 5: Solve for x
    x = 245,101,460,694.98/567,568.50
  6. Step 6: Final answer
    x = 431,844.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.