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Finding the Fourth Proportional to 353,153.66, 487,350.42 and 208,043.78

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Solution

The fourth proportional to 353,153.66, 487,350.42 and 208,043.78 is: 287,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,153.66 : 487,350.42 = 208,043.78 : x
  2. Step 2: Convert to fraction form
    353,153.66/487,350.42 = 208,043.78/x
  3. Step 3: Cross multiply
    353,153.66x = 487,350.42 × 208,043.78
  4. Step 4: Simplify right side
    353,153.66x = 101,390,223,561.39
  5. Step 5: Solve for x
    x = 101,390,223,561.39/353,153.66
  6. Step 6: Final answer
    x = 287,099.46

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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.