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Finding the Fourth Proportional to 807,968, 1,211,952.64 and 309,332.48

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Solution

The fourth proportional to 807,968, 1,211,952.64 and 309,332.48 is: 463,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,968 : 1,211,952.64 = 309,332.48 : x
  2. Step 2: Convert to fraction form
    807,968/1,211,952.64 = 309,332.48/x
  3. Step 3: Cross multiply
    807,968x = 1,211,952.64 × 309,332.48
  4. Step 4: Simplify right side
    807,968x = 374,896,315,773.75
  5. Step 5: Solve for x
    x = 374,896,315,773.75/807,968
  6. Step 6: Final answer
    x = 463,998.97

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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.