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Finding the Fourth Proportional to 402,460.80, 603,684.99 and 102,938.73

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Solution

The fourth proportional to 402,460.80, 603,684.99 and 102,938.73 is: 154,406.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,460.80 : 603,684.99 = 102,938.73 : x
  2. Step 2: Convert to fraction form
    402,460.80/603,684.99 = 102,938.73/x
  3. Step 3: Cross multiply
    402,460.80x = 603,684.99 × 102,938.73
  4. Step 4: Simplify right side
    402,460.80x = 62,142,566,190.66
  5. Step 5: Solve for x
    x = 62,142,566,190.66/402,460.80
  6. Step 6: Final answer
    x = 154,406.51

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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.