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Finding the Fourth Proportional to 426,534.82, 639,736.62 and 142,230.31

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Solution

The fourth proportional to 426,534.82, 639,736.62 and 142,230.31 is: 213,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,534.82 : 639,736.62 = 142,230.31 : x
  2. Step 2: Convert to fraction form
    426,534.82/639,736.62 = 142,230.31/x
  3. Step 3: Cross multiply
    426,534.82x = 639,736.62 × 142,230.31
  4. Step 4: Simplify right side
    426,534.82x = 90,989,937,780.95
  5. Step 5: Solve for x
    x = 90,989,937,780.95/426,534.82
  6. Step 6: Final answer
    x = 213,323.59

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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.