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Finding the Fourth Proportional to 459,614.69, 634,195.01 and 278,295.65

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Solution

The fourth proportional to 459,614.69, 634,195.01 and 278,295.65 is: 384,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,614.69 : 634,195.01 = 278,295.65 : x
  2. Step 2: Convert to fraction form
    459,614.69/634,195.01 = 278,295.65/x
  3. Step 3: Cross multiply
    459,614.69x = 634,195.01 × 278,295.65
  4. Step 4: Simplify right side
    459,614.69x = 176,493,711,143.23
  5. Step 5: Solve for x
    x = 176,493,711,143.23/459,614.69
  6. Step 6: Final answer
    x = 384,003.63

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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.