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Finding the Fourth Proportional to 424,164.19, 634,861.60 and 311,814.67

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Solution

The fourth proportional to 424,164.19, 634,861.60 and 311,814.67 is: 466,704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,164.19 : 634,861.60 = 311,814.67 : x
  2. Step 2: Convert to fraction form
    424,164.19/634,861.60 = 311,814.67/x
  3. Step 3: Cross multiply
    424,164.19x = 634,861.60 × 311,814.67
  4. Step 4: Simplify right side
    424,164.19x = 197,959,155,566.29
  5. Step 5: Solve for x
    x = 197,959,155,566.29/424,164.19
  6. Step 6: Final answer
    x = 466,704.08

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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.