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Finding the Fourth Proportional to 517,025.21, 713,494.77 and 302,345.65

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Solution

The fourth proportional to 517,025.21, 713,494.77 and 302,345.65 is: 417,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,025.21 : 713,494.77 = 302,345.65 : x
  2. Step 2: Convert to fraction form
    517,025.21/713,494.77 = 302,345.65/x
  3. Step 3: Cross multiply
    517,025.21x = 713,494.77 × 302,345.65
  4. Step 4: Simplify right side
    517,025.21x = 215,722,036,439.78
  5. Step 5: Solve for x
    x = 215,722,036,439.78/517,025.21
  6. Step 6: Final answer
    x = 417,236.98

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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.