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Finding the Fourth Proportional to 402,479.82, 603,740.40 and 102,963

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Solution

The fourth proportional to 402,479.82, 603,740.40 and 102,963 is: 154,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,479.82 : 603,740.40 = 102,963 : x
  2. Step 2: Convert to fraction form
    402,479.82/603,740.40 = 102,963/x
  3. Step 3: Cross multiply
    402,479.82x = 603,740.40 × 102,963
  4. Step 4: Simplify right side
    402,479.82x = 62,162,922,805.20
  5. Step 5: Solve for x
    x = 62,162,922,805.20/402,479.82
  6. Step 6: Final answer
    x = 154,449.79

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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.