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Finding the Fourth Proportional to 393,137.31, 542,398.98 and 320,415.16

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Solution

The fourth proportional to 393,137.31, 542,398.98 and 320,415.16 is: 442,066.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,137.31 : 542,398.98 = 320,415.16 : x
  2. Step 2: Convert to fraction form
    393,137.31/542,398.98 = 320,415.16/x
  3. Step 3: Cross multiply
    393,137.31x = 542,398.98 × 320,415.16
  4. Step 4: Simplify right side
    393,137.31x = 173,792,855,960.54
  5. Step 5: Solve for x
    x = 173,792,855,960.54/393,137.31
  6. Step 6: Final answer
    x = 442,066.55

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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.