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Finding the Fourth Proportional to 553,581.54, 829,191.33 and 420,524.46

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Solution

The fourth proportional to 553,581.54, 829,191.33 and 420,524.46 is: 629,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,581.54 : 829,191.33 = 420,524.46 : x
  2. Step 2: Convert to fraction form
    553,581.54/829,191.33 = 420,524.46/x
  3. Step 3: Cross multiply
    553,581.54x = 829,191.33 × 420,524.46
  4. Step 4: Simplify right side
    553,581.54x = 348,695,236,284.93
  5. Step 5: Solve for x
    x = 348,695,236,284.93/553,581.54
  6. Step 6: Final answer
    x = 629,889.57

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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.