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Finding the Fourth Proportional to 517,012.54, 713,543.79 and 290,701.78

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Solution

The fourth proportional to 517,012.54, 713,543.79 and 290,701.78 is: 401,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,012.54 : 713,543.79 = 290,701.78 : x
  2. Step 2: Convert to fraction form
    517,012.54/713,543.79 = 290,701.78/x
  3. Step 3: Cross multiply
    517,012.54x = 713,543.79 × 290,701.78
  4. Step 4: Simplify right side
    517,012.54x = 207,428,449,860.95
  5. Step 5: Solve for x
    x = 207,428,449,860.95/517,012.54
  6. Step 6: Final answer
    x = 401,205.84

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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.