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Finding the Fourth Proportional to 517,349.28, 713,934.72 and 290,994.24

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Solution

The fourth proportional to 517,349.28, 713,934.72 and 290,994.24 is: 401,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,349.28 : 713,934.72 = 290,994.24 : x
  2. Step 2: Convert to fraction form
    517,349.28/713,934.72 = 290,994.24/x
  3. Step 3: Cross multiply
    517,349.28x = 713,934.72 × 290,994.24
  4. Step 4: Simplify right side
    517,349.28x = 207,750,891,256.01
  5. Step 5: Solve for x
    x = 207,750,891,256.01/517,349.28
  6. Step 6: Final answer
    x = 401,567.95

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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.