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Finding the Fourth Proportional to 422,918.15, 634,448.33 and 209,696.59

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Solution

The fourth proportional to 422,918.15, 634,448.33 and 209,696.59 is: 314,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,918.15 : 634,448.33 = 209,696.59 : x
  2. Step 2: Convert to fraction form
    422,918.15/634,448.33 = 209,696.59/x
  3. Step 3: Cross multiply
    422,918.15x = 634,448.33 × 209,696.59
  4. Step 4: Simplify right side
    422,918.15x = 133,041,651,332.20
  5. Step 5: Solve for x
    x = 133,041,651,332.20/422,918.15
  6. Step 6: Final answer
    x = 314,580.14

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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.