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Finding the Fourth Proportional to 402,430.20, 603,645.30 and 242,997.90

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Solution

The fourth proportional to 402,430.20, 603,645.30 and 242,997.90 is: 364,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,430.20 : 603,645.30 = 242,997.90 : x
  2. Step 2: Convert to fraction form
    402,430.20/603,645.30 = 242,997.90/x
  3. Step 3: Cross multiply
    402,430.20x = 603,645.30 × 242,997.90
  4. Step 4: Simplify right side
    402,430.20x = 146,684,540,244.87
  5. Step 5: Solve for x
    x = 146,684,540,244.87/402,430.20
  6. Step 6: Final answer
    x = 364,496.85

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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.