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Finding the Fourth Proportional to 353,963.43, 531,022.86 and 260,184.87

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Solution

The fourth proportional to 353,963.43, 531,022.86 and 260,184.87 is: 390,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,963.43 : 531,022.86 = 260,184.87 : x
  2. Step 2: Convert to fraction form
    353,963.43/531,022.86 = 260,184.87/x
  3. Step 3: Cross multiply
    353,963.43x = 531,022.86 × 260,184.87
  4. Step 4: Simplify right side
    353,963.43x = 138,164,113,796.13
  5. Step 5: Solve for x
    x = 138,164,113,796.13/353,963.43
  6. Step 6: Final answer
    x = 390,334.43

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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.