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Finding the Fourth Proportional to 402,658.80, 603,604.20 and 149,871.60

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Solution

The fourth proportional to 402,658.80, 603,604.20 and 149,871.60 is: 224,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,658.80 : 603,604.20 = 149,871.60 : x
  2. Step 2: Convert to fraction form
    402,658.80/603,604.20 = 149,871.60/x
  3. Step 3: Cross multiply
    402,658.80x = 603,604.20 × 149,871.60
  4. Step 4: Simplify right side
    402,658.80x = 90,463,127,220.72
  5. Step 5: Solve for x
    x = 90,463,127,220.72/402,658.80
  6. Step 6: Final answer
    x = 224,664.47

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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.