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Finding the Fourth Proportional to 563,739.28, 777,954.28 and 309,089.84

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Solution

The fourth proportional to 563,739.28, 777,954.28 and 309,089.84 is: 426,540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,739.28 : 777,954.28 = 309,089.84 : x
  2. Step 2: Convert to fraction form
    563,739.28/777,954.28 = 309,089.84/x
  3. Step 3: Cross multiply
    563,739.28x = 777,954.28 × 309,089.84
  4. Step 4: Simplify right side
    563,739.28x = 240,457,763,932.52
  5. Step 5: Solve for x
    x = 240,457,763,932.52/563,739.28
  6. Step 6: Final answer
    x = 426,540.73

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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.