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Finding the Fourth Proportional to 553,542.80, 763,961.64 and 311,872.02

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Solution

The fourth proportional to 553,542.80, 763,961.64 and 311,872.02 is: 430,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,542.80 : 763,961.64 = 311,872.02 : x
  2. Step 2: Convert to fraction form
    553,542.80/763,961.64 = 311,872.02/x
  3. Step 3: Cross multiply
    553,542.80x = 763,961.64 × 311,872.02
  4. Step 4: Simplify right side
    553,542.80x = 238,258,259,869.31
  5. Step 5: Solve for x
    x = 238,258,259,869.31/553,542.80
  6. Step 6: Final answer
    x = 430,424.28

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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.