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Finding the Fourth Proportional to 230,658, 345,987.36 and 64,446

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Solution

The fourth proportional to 230,658, 345,987.36 and 64,446 is: 96,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,658 : 345,987.36 = 64,446 : x
  2. Step 2: Convert to fraction form
    230,658/345,987.36 = 64,446/x
  3. Step 3: Cross multiply
    230,658x = 345,987.36 × 64,446
  4. Step 4: Simplify right side
    230,658x = 22,297,501,402.56
  5. Step 5: Solve for x
    x = 22,297,501,402.56/230,658
  6. Step 6: Final answer
    x = 96,669.10

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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.