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Finding the Fourth Proportional to 563,489.64, 777,617.94 and 305,367.14

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Solution

The fourth proportional to 563,489.64, 777,617.94 and 305,367.14 is: 421,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,489.64 : 777,617.94 = 305,367.14 : x
  2. Step 2: Convert to fraction form
    563,489.64/777,617.94 = 305,367.14/x
  3. Step 3: Cross multiply
    563,489.64x = 777,617.94 × 305,367.14
  4. Step 4: Simplify right side
    563,489.64x = 237,458,966,350.49
  5. Step 5: Solve for x
    x = 237,458,966,350.49/563,489.64
  6. Step 6: Final answer
    x = 421,407.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.