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Finding the Fourth Proportional to 357,175.37, 535,742.18 and 261,209.78

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Solution

The fourth proportional to 357,175.37, 535,742.18 and 261,209.78 is: 391,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,175.37 : 535,742.18 = 261,209.78 : x
  2. Step 2: Convert to fraction form
    357,175.37/535,742.18 = 261,209.78/x
  3. Step 3: Cross multiply
    357,175.37x = 535,742.18 × 261,209.78
  4. Step 4: Simplify right side
    357,175.37x = 139,941,095,978.33
  5. Step 5: Solve for x
    x = 139,941,095,978.33/357,175.37
  6. Step 6: Final answer
    x = 391,799.41

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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.