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Finding the Fourth Proportional to 553,432.72, 829,963.39 and 211,796.48

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Solution

The fourth proportional to 553,432.72, 829,963.39 and 211,796.48 is: 317,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,432.72 : 829,963.39 = 211,796.48 : x
  2. Step 2: Convert to fraction form
    553,432.72/829,963.39 = 211,796.48/x
  3. Step 3: Cross multiply
    553,432.72x = 829,963.39 × 211,796.48
  4. Step 4: Simplify right side
    553,432.72x = 175,783,325,347.05
  5. Step 5: Solve for x
    x = 175,783,325,347.05/553,432.72
  6. Step 6: Final answer
    x = 317,623.66

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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.