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Finding the Fourth Proportional to 517,303.77, 713,872.33 and 290,949.27

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Solution

The fourth proportional to 517,303.77, 713,872.33 and 290,949.27 is: 401,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,303.77 : 713,872.33 = 290,949.27 : x
  2. Step 2: Convert to fraction form
    517,303.77/713,872.33 = 290,949.27/x
  3. Step 3: Cross multiply
    517,303.77x = 713,872.33 × 290,949.27
  4. Step 4: Simplify right side
    517,303.77x = 207,700,632,559.33
  5. Step 5: Solve for x
    x = 207,700,632,559.33/517,303.77
  6. Step 6: Final answer
    x = 401,506.13

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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.