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Finding the Fourth Proportional to 402,408.70, 603,685.95 and 202,225.30

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Solution

The fourth proportional to 402,408.70, 603,685.95 and 202,225.30 is: 303,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,408.70 : 603,685.95 = 202,225.30 : x
  2. Step 2: Convert to fraction form
    402,408.70/603,685.95 = 202,225.30/x
  3. Step 3: Cross multiply
    402,408.70x = 603,685.95 × 202,225.30
  4. Step 4: Simplify right side
    402,408.70x = 122,080,572,344.54
  5. Step 5: Solve for x
    x = 122,080,572,344.54/402,408.70
  6. Step 6: Final answer
    x = 303,374.58

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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.