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Finding the Fourth Proportional to 345,807.20, 477,217.56 and 194,904.20

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Solution

The fourth proportional to 345,807.20, 477,217.56 and 194,904.20 is: 268,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,807.20 : 477,217.56 = 194,904.20 : x
  2. Step 2: Convert to fraction form
    345,807.20/477,217.56 = 194,904.20/x
  3. Step 3: Cross multiply
    345,807.20x = 477,217.56 × 194,904.20
  4. Step 4: Simplify right side
    345,807.20x = 93,011,704,371.66
  5. Step 5: Solve for x
    x = 93,011,704,371.66/345,807.20
  6. Step 6: Final answer
    x = 268,969.84

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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.