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Finding the Fourth Proportional to 403,494.80, 604,367.40 and 261,777.20

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Solution

The fourth proportional to 403,494.80, 604,367.40 and 261,777.20 is: 392,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,494.80 : 604,367.40 = 261,777.20 : x
  2. Step 2: Convert to fraction form
    403,494.80/604,367.40 = 261,777.20/x
  3. Step 3: Cross multiply
    403,494.80x = 604,367.40 × 261,777.20
  4. Step 4: Simplify right side
    403,494.80x = 158,209,605,743.28
  5. Step 5: Solve for x
    x = 158,209,605,743.28/403,494.80
  6. Step 6: Final answer
    x = 392,098.25

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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.