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Finding the Fourth Proportional to 345,634.88, 517,657.44 and 288,455.36

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Solution

The fourth proportional to 345,634.88, 517,657.44 and 288,455.36 is: 432,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,634.88 : 517,657.44 = 288,455.36 : x
  2. Step 2: Convert to fraction form
    345,634.88/517,657.44 = 288,455.36/x
  3. Step 3: Cross multiply
    345,634.88x = 517,657.44 × 288,455.36
  4. Step 4: Simplify right side
    345,634.88x = 149,321,063,211.88
  5. Step 5: Solve for x
    x = 149,321,063,211.88/345,634.88
  6. Step 6: Final answer
    x = 432,019.66

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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.