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Finding the Fourth Proportional to 634,409.69, 951,705 and 207,854.33

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Solution

The fourth proportional to 634,409.69, 951,705 and 207,854.33 is: 311,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,409.69 : 951,705 = 207,854.33 : x
  2. Step 2: Convert to fraction form
    634,409.69/951,705 = 207,854.33/x
  3. Step 3: Cross multiply
    634,409.69x = 951,705 × 207,854.33
  4. Step 4: Simplify right side
    634,409.69x = 197,816,000,374.13
  5. Step 5: Solve for x
    x = 197,816,000,374.13/634,409.69
  6. Step 6: Final answer
    x = 311,811.13

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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.