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Finding the Fourth Proportional to 642,777.36, 964,494 and 263,988.96

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Solution

The fourth proportional to 642,777.36, 964,494 and 263,988.96 is: 396,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,777.36 : 964,494 = 263,988.96 : x
  2. Step 2: Convert to fraction form
    642,777.36/964,494 = 263,988.96/x
  3. Step 3: Cross multiply
    642,777.36x = 964,494 × 263,988.96
  4. Step 4: Simplify right side
    642,777.36x = 254,615,767,986.24
  5. Step 5: Solve for x
    x = 254,615,767,986.24/642,777.36
  6. Step 6: Final answer
    x = 396,118.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.