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Finding the Fourth Proportional to 553,643.28, 764,024.27 and 312,003.41

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Solution

The fourth proportional to 553,643.28, 764,024.27 and 312,003.41 is: 430,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,643.28 : 764,024.27 = 312,003.41 : x
  2. Step 2: Convert to fraction form
    553,643.28/764,024.27 = 312,003.41/x
  3. Step 3: Cross multiply
    553,643.28x = 764,024.27 × 312,003.41
  4. Step 4: Simplify right side
    553,643.28x = 238,378,172,182.62
  5. Step 5: Solve for x
    x = 238,378,172,182.62/553,643.28
  6. Step 6: Final answer
    x = 430,562.75

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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.