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Finding the Fourth Proportional to 345,785.76, 477,222.30 and 200,623.50

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Solution

The fourth proportional to 345,785.76, 477,222.30 and 200,623.50 is: 276,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,785.76 : 477,222.30 = 200,623.50 : x
  2. Step 2: Convert to fraction form
    345,785.76/477,222.30 = 200,623.50/x
  3. Step 3: Cross multiply
    345,785.76x = 477,222.30 × 200,623.50
  4. Step 4: Simplify right side
    345,785.76x = 95,742,008,104.05
  5. Step 5: Solve for x
    x = 95,742,008,104.05/345,785.76
  6. Step 6: Final answer
    x = 276,882.45

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1.5x scale

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.