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Finding the Fourth Proportional to 402,542.50, 603,813.23 and 103,023.23

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Solution

The fourth proportional to 402,542.50, 603,813.23 and 103,023.23 is: 154,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,542.50 : 603,813.23 = 103,023.23 : x
  2. Step 2: Convert to fraction form
    402,542.50/603,813.23 = 103,023.23/x
  3. Step 3: Cross multiply
    402,542.50x = 603,813.23 × 103,023.23
  4. Step 4: Simplify right side
    402,542.50x = 62,206,789,271.33
  5. Step 5: Solve for x
    x = 62,206,789,271.33/402,542.50
  6. Step 6: Final answer
    x = 154,534.71

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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.