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Finding the Fourth Proportional to 580,223.52, 800,766 and 389,633.76

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Solution

The fourth proportional to 580,223.52, 800,766 and 389,633.76 is: 537,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,223.52 : 800,766 = 389,633.76 : x
  2. Step 2: Convert to fraction form
    580,223.52/800,766 = 389,633.76/x
  3. Step 3: Cross multiply
    580,223.52x = 800,766 × 389,633.76
  4. Step 4: Simplify right side
    580,223.52x = 312,005,467,460.16
  5. Step 5: Solve for x
    x = 312,005,467,460.16/580,223.52
  6. Step 6: Final answer
    x = 537,733.23

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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.