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Finding the Fourth Proportional to 310,891.23, 466,336.71 and 139,913.10

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Solution

The fourth proportional to 310,891.23, 466,336.71 and 139,913.10 is: 209,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,891.23 : 466,336.71 = 139,913.10 : x
  2. Step 2: Convert to fraction form
    310,891.23/466,336.71 = 139,913.10/x
  3. Step 3: Cross multiply
    310,891.23x = 466,336.71 × 139,913.10
  4. Step 4: Simplify right side
    310,891.23x = 65,246,614,739.90
  5. Step 5: Solve for x
    x = 65,246,614,739.90/310,891.23
  6. Step 6: Final answer
    x = 209,869.59

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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.