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Finding the Fourth Proportional to 563,197.68, 777,208.14 and 305,068.64

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Solution

The fourth proportional to 563,197.68, 777,208.14 and 305,068.64 is: 420,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,197.68 : 777,208.14 = 305,068.64 : x
  2. Step 2: Convert to fraction form
    563,197.68/777,208.14 = 305,068.64/x
  3. Step 3: Cross multiply
    563,197.68x = 777,208.14 × 305,068.64
  4. Step 4: Simplify right side
    563,197.68x = 237,101,826,380.69
  5. Step 5: Solve for x
    x = 237,101,826,380.69/563,197.68
  6. Step 6: Final answer
    x = 420,992.19

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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.