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Finding the Fourth Proportional to 430,063.82, 645,104.59 and 156,500.66

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Solution

The fourth proportional to 430,063.82, 645,104.59 and 156,500.66 is: 234,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,063.82 : 645,104.59 = 156,500.66 : x
  2. Step 2: Convert to fraction form
    430,063.82/645,104.59 = 156,500.66/x
  3. Step 3: Cross multiply
    430,063.82x = 645,104.59 × 156,500.66
  4. Step 4: Simplify right side
    430,063.82x = 100,959,294,104.03
  5. Step 5: Solve for x
    x = 100,959,294,104.03/430,063.82
  6. Step 6: Final answer
    x = 234,754.21

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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.