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Finding the Fourth Proportional to 417,920.67, 626,959.78 and 190,233.92

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Solution

The fourth proportional to 417,920.67, 626,959.78 and 190,233.92 is: 285,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,920.67 : 626,959.78 = 190,233.92 : x
  2. Step 2: Convert to fraction form
    417,920.67/626,959.78 = 190,233.92/x
  3. Step 3: Cross multiply
    417,920.67x = 626,959.78 × 190,233.92
  4. Step 4: Simplify right side
    417,920.67x = 119,269,017,723.55
  5. Step 5: Solve for x
    x = 119,269,017,723.55/417,920.67
  6. Step 6: Final answer
    x = 285,386.74

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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.