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Finding the Fourth Proportional to 424,164.69, 634,862.35 and 311,815.17

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Solution

The fourth proportional to 424,164.69, 634,862.35 and 311,815.17 is: 466,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,164.69 : 634,862.35 = 311,815.17 : x
  2. Step 2: Convert to fraction form
    424,164.69/634,862.35 = 311,815.17/x
  3. Step 3: Cross multiply
    424,164.69x = 634,862.35 × 311,815.17
  4. Step 4: Simplify right side
    424,164.69x = 197,959,706,858.46
  5. Step 5: Solve for x
    x = 197,959,706,858.46/424,164.69
  6. Step 6: Final answer
    x = 466,704.83

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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.