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Finding the Fourth Proportional to 426,761.46, 640,232.10 and 146,300.58

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Solution

The fourth proportional to 426,761.46, 640,232.10 and 146,300.58 is: 219,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,761.46 : 640,232.10 = 146,300.58 : x
  2. Step 2: Convert to fraction form
    426,761.46/640,232.10 = 146,300.58/x
  3. Step 3: Cross multiply
    426,761.46x = 640,232.10 × 146,300.58
  4. Step 4: Simplify right side
    426,761.46x = 93,666,327,564.62
  5. Step 5: Solve for x
    x = 93,666,327,564.62/426,761.46
  6. Step 6: Final answer
    x = 219,481.69

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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.