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Finding the Fourth Proportional to 319,910.42, 479,483.92 and 148,902.01

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Solution

The fourth proportional to 319,910.42, 479,483.92 and 148,902.01 is: 223,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,910.42 : 479,483.92 = 148,902.01 : x
  2. Step 2: Convert to fraction form
    319,910.42/479,483.92 = 148,902.01/x
  3. Step 3: Cross multiply
    319,910.42x = 479,483.92 × 148,902.01
  4. Step 4: Simplify right side
    319,910.42x = 71,396,118,438.10
  5. Step 5: Solve for x
    x = 71,396,118,438.10/319,910.42
  6. Step 6: Final answer
    x = 223,175.34

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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.