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Finding the Fourth Proportional to 518,807.25, 715,832.13 and 314,853.66

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Solution

The fourth proportional to 518,807.25, 715,832.13 and 314,853.66 is: 434,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,807.25 : 715,832.13 = 314,853.66 : x
  2. Step 2: Convert to fraction form
    518,807.25/715,832.13 = 314,853.66/x
  3. Step 3: Cross multiply
    518,807.25x = 715,832.13 × 314,853.66
  4. Step 4: Simplify right side
    518,807.25x = 225,382,366,076.10
  5. Step 5: Solve for x
    x = 225,382,366,076.10/518,807.25
  6. Step 6: Final answer
    x = 434,424.09

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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.