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Finding the Fourth Proportional to 532,155.78, 734,390.43 and 290,453.82

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Solution

The fourth proportional to 532,155.78, 734,390.43 and 290,453.82 is: 400,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,155.78 : 734,390.43 = 290,453.82 : x
  2. Step 2: Convert to fraction form
    532,155.78/734,390.43 = 290,453.82/x
  3. Step 3: Cross multiply
    532,155.78x = 734,390.43 × 290,453.82
  4. Step 4: Simplify right side
    532,155.78x = 213,306,505,764.94
  5. Step 5: Solve for x
    x = 213,306,505,764.94/532,155.78
  6. Step 6: Final answer
    x = 400,834.71

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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.