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Finding the Fourth Proportional to 514,844.32, 772,301.04 and 140,870.56

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Solution

The fourth proportional to 514,844.32, 772,301.04 and 140,870.56 is: 211,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,844.32 : 772,301.04 = 140,870.56 : x
  2. Step 2: Convert to fraction form
    514,844.32/772,301.04 = 140,870.56/x
  3. Step 3: Cross multiply
    514,844.32x = 772,301.04 × 140,870.56
  4. Step 4: Simplify right side
    514,844.32x = 108,794,479,993.38
  5. Step 5: Solve for x
    x = 108,794,479,993.38/514,844.32
  6. Step 6: Final answer
    x = 211,315.30

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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.