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Finding the Fourth Proportional to 505,205, 757,217 and 280,457.96

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Solution

The fourth proportional to 505,205, 757,217 and 280,457.96 is: 420,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,205 : 757,217 = 280,457.96 : x
  2. Step 2: Convert to fraction form
    505,205/757,217 = 280,457.96/x
  3. Step 3: Cross multiply
    505,205x = 757,217 × 280,457.96
  4. Step 4: Simplify right side
    505,205x = 212,367,535,097.32
  5. Step 5: Solve for x
    x = 212,367,535,097.32/505,205
  6. Step 6: Final answer
    x = 420,359.13

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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.