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Finding the Fourth Proportional to 517,146.12, 713,726.64 and 290,790

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Solution

The fourth proportional to 517,146.12, 713,726.64 and 290,790 is: 401,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,146.12 : 713,726.64 = 290,790 : x
  2. Step 2: Convert to fraction form
    517,146.12/713,726.64 = 290,790/x
  3. Step 3: Cross multiply
    517,146.12x = 713,726.64 × 290,790
  4. Step 4: Simplify right side
    517,146.12x = 207,544,569,645.60
  5. Step 5: Solve for x
    x = 207,544,569,645.60/517,146.12
  6. Step 6: Final answer
    x = 401,326.75

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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.