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Finding the Fourth Proportional to 563,528.34, 777,682.62 and 308,893.50

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Solution

The fourth proportional to 563,528.34, 777,682.62 and 308,893.50 is: 426,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,528.34 : 777,682.62 = 308,893.50 : x
  2. Step 2: Convert to fraction form
    563,528.34/777,682.62 = 308,893.50/x
  3. Step 3: Cross multiply
    563,528.34x = 777,682.62 × 308,893.50
  4. Step 4: Simplify right side
    563,528.34x = 240,221,106,380.97
  5. Step 5: Solve for x
    x = 240,221,106,380.97/563,528.34
  6. Step 6: Final answer
    x = 426,280.44

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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.