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Finding the Fourth Proportional to 230,490, 345,793.32 and 64,278

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Solution

The fourth proportional to 230,490, 345,793.32 and 64,278 is: 96,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,490 : 345,793.32 = 64,278 : x
  2. Step 2: Convert to fraction form
    230,490/345,793.32 = 64,278/x
  3. Step 3: Cross multiply
    230,490x = 345,793.32 × 64,278
  4. Step 4: Simplify right side
    230,490x = 22,226,903,022.96
  5. Step 5: Solve for x
    x = 22,226,903,022.96/230,490
  6. Step 6: Final answer
    x = 96,433.26

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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.