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Finding the Fourth Proportional to 515,967.66, 712,021.77 and 286,517.88

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Solution

The fourth proportional to 515,967.66, 712,021.77 and 286,517.88 is: 395,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,967.66 : 712,021.77 = 286,517.88 : x
  2. Step 2: Convert to fraction form
    515,967.66/712,021.77 = 286,517.88/x
  3. Step 3: Cross multiply
    515,967.66x = 712,021.77 × 286,517.88
  4. Step 4: Simplify right side
    515,967.66x = 204,006,968,054.25
  5. Step 5: Solve for x
    x = 204,006,968,054.25/515,967.66
  6. Step 6: Final answer
    x = 395,387.12

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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.