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Finding the Fourth Proportional to 491,322.10, 735,802.14 and 280,320.34

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Solution

The fourth proportional to 491,322.10, 735,802.14 and 280,320.34 is: 419,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,322.10 : 735,802.14 = 280,320.34 : x
  2. Step 2: Convert to fraction form
    491,322.10/735,802.14 = 280,320.34/x
  3. Step 3: Cross multiply
    491,322.10x = 735,802.14 × 280,320.34
  4. Step 4: Simplify right side
    491,322.10x = 206,260,306,057.53
  5. Step 5: Solve for x
    x = 206,260,306,057.53/491,322.10
  6. Step 6: Final answer
    x = 419,806.69

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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.