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Finding the Fourth Proportional to 402,420.70, 603,631.05 and 337,466.80

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Solution

The fourth proportional to 402,420.70, 603,631.05 and 337,466.80 is: 506,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,420.70 : 603,631.05 = 337,466.80 : x
  2. Step 2: Convert to fraction form
    402,420.70/603,631.05 = 337,466.80/x
  3. Step 3: Cross multiply
    402,420.70x = 603,631.05 × 337,466.80
  4. Step 4: Simplify right side
    402,420.70x = 203,705,438,824.14
  5. Step 5: Solve for x
    x = 203,705,438,824.14/402,420.70
  6. Step 6: Final answer
    x = 506,200.20

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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.