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Finding the Fourth Proportional to 345,807.07, 477,215.75 and 192,854.90

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Solution

The fourth proportional to 345,807.07, 477,215.75 and 192,854.90 is: 266,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,807.07 : 477,215.75 = 192,854.90 : x
  2. Step 2: Convert to fraction form
    345,807.07/477,215.75 = 192,854.90/x
  3. Step 3: Cross multiply
    345,807.07x = 477,215.75 × 192,854.90
  4. Step 4: Simplify right side
    345,807.07x = 92,033,395,744.68
  5. Step 5: Solve for x
    x = 92,033,395,744.68/345,807.07
  6. Step 6: Final answer
    x = 266,140.87

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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.