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Finding the Fourth Proportional to 403,613.54, 605,106.15 and 261,157.82

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Solution

The fourth proportional to 403,613.54, 605,106.15 and 261,157.82 is: 391,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,613.54 : 605,106.15 = 261,157.82 : x
  2. Step 2: Convert to fraction form
    403,613.54/605,106.15 = 261,157.82/x
  3. Step 3: Cross multiply
    403,613.54x = 605,106.15 × 261,157.82
  4. Step 4: Simplify right side
    403,613.54x = 158,028,203,002.59
  5. Step 5: Solve for x
    x = 158,028,203,002.59/403,613.54
  6. Step 6: Final answer
    x = 391,533.45

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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.