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Finding the Fourth Proportional to 408,401.32, 612,202.04 and 228,574.57

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Solution

The fourth proportional to 408,401.32, 612,202.04 and 228,574.57 is: 342,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,401.32 : 612,202.04 = 228,574.57 : x
  2. Step 2: Convert to fraction form
    408,401.32/612,202.04 = 228,574.57/x
  3. Step 3: Cross multiply
    408,401.32x = 612,202.04 × 228,574.57
  4. Step 4: Simplify right side
    408,401.32x = 139,933,813,842.24
  5. Step 5: Solve for x
    x = 139,933,813,842.24/408,401.32
  6. Step 6: Final answer
    x = 342,638.01

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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.