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Finding the Fourth Proportional to 402,154.80, 603,669.60 and 225,007.80

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Solution

The fourth proportional to 402,154.80, 603,669.60 and 225,007.80 is: 337,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,154.80 : 603,669.60 = 225,007.80 : x
  2. Step 2: Convert to fraction form
    402,154.80/603,669.60 = 225,007.80/x
  3. Step 3: Cross multiply
    402,154.80x = 603,669.60 × 225,007.80
  4. Step 4: Simplify right side
    402,154.80x = 135,830,368,622.88
  5. Step 5: Solve for x
    x = 135,830,368,622.88/402,154.80
  6. Step 6: Final answer
    x = 337,756.43

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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.