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Finding the Fourth Proportional to 255,920,471.20, 383,880,706.80 and 227,702,922.40

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Solution

The fourth proportional to 255,920,471.20, 383,880,706.80 and 227,702,922.40 is: 341,554,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,920,471.20 : 383,880,706.80 = 227,702,922.40 : x
  2. Step 2: Convert to fraction form
    255,920,471.20/383,880,706.80 = 227,702,922.40/x
  3. Step 3: Cross multiply
    255,920,471.20x = 383,880,706.80 × 227,702,922.40
  4. Step 4: Simplify right side
    255,920,471.20x = 87,410,758,791,337,552
  5. Step 5: Solve for x
    x = 87,410,758,791,337,552/255,920,471.20
  6. Step 6: Final answer
    x = 341,554,383.60

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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.