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Finding the Fourth Proportional to 403,687.80, 604,851.30 and 319,123.80

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Solution

The fourth proportional to 403,687.80, 604,851.30 and 319,123.80 is: 478,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,687.80 : 604,851.30 = 319,123.80 : x
  2. Step 2: Convert to fraction form
    403,687.80/604,851.30 = 319,123.80/x
  3. Step 3: Cross multiply
    403,687.80x = 604,851.30 × 319,123.80
  4. Step 4: Simplify right side
    403,687.80x = 193,022,445,290.94
  5. Step 5: Solve for x
    x = 193,022,445,290.94/403,687.80
  6. Step 6: Final answer
    x = 478,147.83

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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.