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Finding the Fourth Proportional to 518,382.02, 715,458.76 and 411,765.78

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Solution

The fourth proportional to 518,382.02, 715,458.76 and 411,765.78 is: 568,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,382.02 : 715,458.76 = 411,765.78 : x
  2. Step 2: Convert to fraction form
    518,382.02/715,458.76 = 411,765.78/x
  3. Step 3: Cross multiply
    518,382.02x = 715,458.76 × 411,765.78
  4. Step 4: Simplify right side
    518,382.02x = 294,601,434,369.23
  5. Step 5: Solve for x
    x = 294,601,434,369.23/518,382.02
  6. Step 6: Final answer
    x = 568,309.51

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1.5x scale

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.