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Finding the Fourth Proportional to 402,012.60, 603,018.90 and 252,421.80

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Solution

The fourth proportional to 402,012.60, 603,018.90 and 252,421.80 is: 378,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,012.60 : 603,018.90 = 252,421.80 : x
  2. Step 2: Convert to fraction form
    402,012.60/603,018.90 = 252,421.80/x
  3. Step 3: Cross multiply
    402,012.60x = 603,018.90 × 252,421.80
  4. Step 4: Simplify right side
    402,012.60x = 152,215,116,172.02
  5. Step 5: Solve for x
    x = 152,215,116,172.02/402,012.60
  6. Step 6: Final answer
    x = 378,632.70

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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.