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Finding the Fourth Proportional to 402,002.58, 603,003.21 and 313,322.58

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Solution

The fourth proportional to 402,002.58, 603,003.21 and 313,322.58 is: 469,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,002.58 : 603,003.21 = 313,322.58 : x
  2. Step 2: Convert to fraction form
    402,002.58/603,003.21 = 313,322.58/x
  3. Step 3: Cross multiply
    402,002.58x = 603,003.21 × 313,322.58
  4. Step 4: Simplify right side
    402,002.58x = 188,934,521,505.48
  5. Step 5: Solve for x
    x = 188,934,521,505.48/402,002.58
  6. Step 6: Final answer
    x = 469,983.36

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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.