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Finding the Fourth Proportional to 515,755.51, 773,642.86 and 178,807.16

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Solution

The fourth proportional to 515,755.51, 773,642.86 and 178,807.16 is: 268,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,755.51 : 773,642.86 = 178,807.16 : x
  2. Step 2: Convert to fraction form
    515,755.51/773,642.86 = 178,807.16/x
  3. Step 3: Cross multiply
    515,755.51x = 773,642.86 × 178,807.16
  4. Step 4: Simplify right side
    515,755.51x = 138,332,884,137.97
  5. Step 5: Solve for x
    x = 138,332,884,137.97/515,755.51
  6. Step 6: Final answer
    x = 268,214.07

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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.