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Finding the Fourth Proportional to 646,595.60, 969,893.48 and 197,318.82

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Solution

The fourth proportional to 646,595.60, 969,893.48 and 197,318.82 is: 295,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,595.60 : 969,893.48 = 197,318.82 : x
  2. Step 2: Convert to fraction form
    646,595.60/969,893.48 = 197,318.82/x
  3. Step 3: Cross multiply
    646,595.60x = 969,893.48 × 197,318.82
  4. Step 4: Simplify right side
    646,595.60x = 191,378,236,999.29
  5. Step 5: Solve for x
    x = 191,378,236,999.29/646,595.60
  6. Step 6: Final answer
    x = 295,978.25

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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.