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Finding the Fourth Proportional to 646,606.46, 969,909.71 and 197,329.64

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Solution

The fourth proportional to 646,606.46, 969,909.71 and 197,329.64 is: 295,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,606.46 : 969,909.71 = 197,329.64 : x
  2. Step 2: Convert to fraction form
    646,606.46/969,909.71 = 197,329.64/x
  3. Step 3: Cross multiply
    646,606.46x = 969,909.71 × 197,329.64
  4. Step 4: Simplify right side
    646,606.46x = 191,391,928,070.61
  5. Step 5: Solve for x
    x = 191,391,928,070.61/646,606.46
  6. Step 6: Final answer
    x = 295,994.46

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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.