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Finding the Fourth Proportional to 408,407.84, 612,211.76 and 228,581.08

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Solution

The fourth proportional to 408,407.84, 612,211.76 and 228,581.08 is: 342,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,407.84 : 612,211.76 = 228,581.08 : x
  2. Step 2: Convert to fraction form
    408,407.84/612,211.76 = 228,581.08/x
  3. Step 3: Cross multiply
    408,407.84x = 612,211.76 × 228,581.08
  4. Step 4: Simplify right side
    408,407.84x = 139,940,025,289.50
  5. Step 5: Solve for x
    x = 139,940,025,289.50/408,407.84
  6. Step 6: Final answer
    x = 342,647.74

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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.