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Finding the Fourth Proportional to 474,358.80, 709,810.20 and 349,942.80

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Solution

The fourth proportional to 474,358.80, 709,810.20 and 349,942.80 is: 523,639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,358.80 : 709,810.20 = 349,942.80 : x
  2. Step 2: Convert to fraction form
    474,358.80/709,810.20 = 349,942.80/x
  3. Step 3: Cross multiply
    474,358.80x = 709,810.20 × 349,942.80
  4. Step 4: Simplify right side
    474,358.80x = 248,392,968,856.56
  5. Step 5: Solve for x
    x = 248,392,968,856.56/474,358.80
  6. Step 6: Final answer
    x = 523,639.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.