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Finding the Fourth Proportional to 353,955.43, 531,010.86 and 260,176.87

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Solution

The fourth proportional to 353,955.43, 531,010.86 and 260,176.87 is: 390,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,955.43 : 531,010.86 = 260,176.87 : x
  2. Step 2: Convert to fraction form
    353,955.43/531,010.86 = 260,176.87/x
  3. Step 3: Cross multiply
    353,955.43x = 531,010.86 × 260,176.87
  4. Step 4: Simplify right side
    353,955.43x = 138,156,743,490.81
  5. Step 5: Solve for x
    x = 138,156,743,490.81/353,955.43
  6. Step 6: Final answer
    x = 390,322.43

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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.