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Finding the Fourth Proportional to 419,246.26, 578,509.77 and 247,033.78

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Solution

The fourth proportional to 419,246.26, 578,509.77 and 247,033.78 is: 340,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,246.26 : 578,509.77 = 247,033.78 : x
  2. Step 2: Convert to fraction form
    419,246.26/578,509.77 = 247,033.78/x
  3. Step 3: Cross multiply
    419,246.26x = 578,509.77 × 247,033.78
  4. Step 4: Simplify right side
    419,246.26x = 142,911,455,250.03
  5. Step 5: Solve for x
    x = 142,911,455,250.03/419,246.26
  6. Step 6: Final answer
    x = 340,877.11

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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.