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Finding the Fourth Proportional to 311,941.50, 430,281.10 and 204,518.50

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Solution

The fourth proportional to 311,941.50, 430,281.10 and 204,518.50 is: 282,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,941.50 : 430,281.10 = 204,518.50 : x
  2. Step 2: Convert to fraction form
    311,941.50/430,281.10 = 204,518.50/x
  3. Step 3: Cross multiply
    311,941.50x = 430,281.10 × 204,518.50
  4. Step 4: Simplify right side
    311,941.50x = 88,000,445,150.35
  5. Step 5: Solve for x
    x = 88,000,445,150.35/311,941.50
  6. Step 6: Final answer
    x = 282,105.60

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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.