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Finding the Fourth Proportional to 446,189.71, 669,296.85 and 130,646.65

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Solution

The fourth proportional to 446,189.71, 669,296.85 and 130,646.65 is: 195,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,189.71 : 669,296.85 = 130,646.65 : x
  2. Step 2: Convert to fraction form
    446,189.71/669,296.85 = 130,646.65/x
  3. Step 3: Cross multiply
    446,189.71x = 669,296.85 × 130,646.65
  4. Step 4: Simplify right side
    446,189.71x = 87,441,391,308.05
  5. Step 5: Solve for x
    x = 87,441,391,308.05/446,189.71
  6. Step 6: Final answer
    x = 195,973.57

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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.