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Finding the Fourth Proportional to 310,414.40, 465,621.60 and 276,953.30

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Solution

The fourth proportional to 310,414.40, 465,621.60 and 276,953.30 is: 415,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,414.40 : 465,621.60 = 276,953.30 : x
  2. Step 2: Convert to fraction form
    310,414.40/465,621.60 = 276,953.30/x
  3. Step 3: Cross multiply
    310,414.40x = 465,621.60 × 276,953.30
  4. Step 4: Simplify right side
    310,414.40x = 128,955,438,671.28
  5. Step 5: Solve for x
    x = 128,955,438,671.28/310,414.40
  6. Step 6: Final answer
    x = 415,429.95

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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.