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Finding the Fourth Proportional to 553,164.72, 829,708.20 and 315,763.44

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Solution

The fourth proportional to 553,164.72, 829,708.20 and 315,763.44 is: 473,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,164.72 : 829,708.20 = 315,763.44 : x
  2. Step 2: Convert to fraction form
    553,164.72/829,708.20 = 315,763.44/x
  3. Step 3: Cross multiply
    553,164.72x = 829,708.20 × 315,763.44
  4. Step 4: Simplify right side
    553,164.72x = 261,991,515,428.21
  5. Step 5: Solve for x
    x = 261,991,515,428.21/553,164.72
  6. Step 6: Final answer
    x = 473,622.97

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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.