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Finding the Fourth Proportional to 563,689.44, 777,891.24 and 309,035.16

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Solution

The fourth proportional to 563,689.44, 777,891.24 and 309,035.16 is: 426,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,689.44 : 777,891.24 = 309,035.16 : x
  2. Step 2: Convert to fraction form
    563,689.44/777,891.24 = 309,035.16/x
  3. Step 3: Cross multiply
    563,689.44x = 777,891.24 × 309,035.16
  4. Step 4: Simplify right side
    563,689.44x = 240,395,743,816.00
  5. Step 5: Solve for x
    x = 240,395,743,816.00/563,689.44
  6. Step 6: Final answer
    x = 426,468.42

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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.