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Finding the Fourth Proportional to 646,299.68, 969,594.90 and 197,065.96

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Solution

The fourth proportional to 646,299.68, 969,594.90 and 197,065.96 is: 295,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,299.68 : 969,594.90 = 197,065.96 : x
  2. Step 2: Convert to fraction form
    646,299.68/969,594.90 = 197,065.96/x
  3. Step 3: Cross multiply
    646,299.68x = 969,594.90 × 197,065.96
  4. Step 4: Simplify right side
    646,299.68x = 191,074,149,779.60
  5. Step 5: Solve for x
    x = 191,074,149,779.60/646,299.68
  6. Step 6: Final answer
    x = 295,643.27

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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.