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Finding the Fourth Proportional to 553,648.12, 764,037.04 and 311,934.54

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Solution

The fourth proportional to 553,648.12, 764,037.04 and 311,934.54 is: 430,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,648.12 : 764,037.04 = 311,934.54 : x
  2. Step 2: Convert to fraction form
    553,648.12/764,037.04 = 311,934.54/x
  3. Step 3: Cross multiply
    553,648.12x = 764,037.04 × 311,934.54
  4. Step 4: Simplify right side
    553,648.12x = 238,329,542,615.36
  5. Step 5: Solve for x
    x = 238,329,542,615.36/553,648.12
  6. Step 6: Final answer
    x = 430,471.15

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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.