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Finding the Fourth Proportional to 645,041.64, 967,564.26 and 195,765.96

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Solution

The fourth proportional to 645,041.64, 967,564.26 and 195,765.96 is: 293,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,041.64 : 967,564.26 = 195,765.96 : x
  2. Step 2: Convert to fraction form
    645,041.64/967,564.26 = 195,765.96/x
  3. Step 3: Cross multiply
    645,041.64x = 967,564.26 × 195,765.96
  4. Step 4: Simplify right side
    645,041.64x = 189,416,146,220.59
  5. Step 5: Solve for x
    x = 189,416,146,220.59/645,041.64
  6. Step 6: Final answer
    x = 293,649.49

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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.