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Finding the Fourth Proportional to 553,912.84, 764,400.26 and 299,264.23

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Solution

The fourth proportional to 553,912.84, 764,400.26 and 299,264.23 is: 412,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,912.84 : 764,400.26 = 299,264.23 : x
  2. Step 2: Convert to fraction form
    553,912.84/764,400.26 = 299,264.23/x
  3. Step 3: Cross multiply
    553,912.84x = 764,400.26 × 299,264.23
  4. Step 4: Simplify right side
    553,912.84x = 228,757,655,220.70
  5. Step 5: Solve for x
    x = 228,757,655,220.70/553,912.84
  6. Step 6: Final answer
    x = 412,984.93

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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.