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Finding the Fourth Proportional to 319,456.40, 479,241.98 and 109,045.13

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Solution

The fourth proportional to 319,456.40, 479,241.98 and 109,045.13 is: 163,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,456.40 : 479,241.98 = 109,045.13 : x
  2. Step 2: Convert to fraction form
    319,456.40/479,241.98 = 109,045.13/x
  3. Step 3: Cross multiply
    319,456.40x = 479,241.98 × 109,045.13
  4. Step 4: Simplify right side
    319,456.40x = 52,259,003,465.33
  5. Step 5: Solve for x
    x = 52,259,003,465.33/319,456.40
  6. Step 6: Final answer
    x = 163,587.28

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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.