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Finding the Fourth Proportional to 403,739.80, 604,929.30 and 319,175.80

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Solution

The fourth proportional to 403,739.80, 604,929.30 and 319,175.80 is: 478,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,739.80 : 604,929.30 = 319,175.80 : x
  2. Step 2: Convert to fraction form
    403,739.80/604,929.30 = 319,175.80/x
  3. Step 3: Cross multiply
    403,739.80x = 604,929.30 × 319,175.80
  4. Step 4: Simplify right side
    403,739.80x = 193,078,793,270.94
  5. Step 5: Solve for x
    x = 193,078,793,270.94/403,739.80
  6. Step 6: Final answer
    x = 478,225.81

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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.