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Finding the Fourth Proportional to 516,728.16, 774,839.52 and 213,065.64

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Solution

The fourth proportional to 516,728.16, 774,839.52 and 213,065.64 is: 319,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,728.16 : 774,839.52 = 213,065.64 : x
  2. Step 2: Convert to fraction form
    516,728.16/774,839.52 = 213,065.64/x
  3. Step 3: Cross multiply
    516,728.16x = 774,839.52 × 213,065.64
  4. Step 4: Simplify right side
    516,728.16x = 165,091,678,226.09
  5. Step 5: Solve for x
    x = 165,091,678,226.09/516,728.16
  6. Step 6: Final answer
    x = 319,494.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.