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Finding the Fourth Proportional to 515,398, 711,327 and 314,310.64

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Solution

The fourth proportional to 515,398, 711,327 and 314,310.64 is: 433,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,398 : 711,327 = 314,310.64 : x
  2. Step 2: Convert to fraction form
    515,398/711,327 = 314,310.64/x
  3. Step 3: Cross multiply
    515,398x = 711,327 × 314,310.64
  4. Step 4: Simplify right side
    515,398x = 223,577,644,619.28
  5. Step 5: Solve for x
    x = 223,577,644,619.28/515,398
  6. Step 6: Final answer
    x = 433,796.10

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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.