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Finding the Fourth Proportional to 446,088, 669,194.40 and 130,567.68

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Solution

The fourth proportional to 446,088, 669,194.40 and 130,567.68 is: 195,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,088 : 669,194.40 = 130,567.68 : x
  2. Step 2: Convert to fraction form
    446,088/669,194.40 = 130,567.68/x
  3. Step 3: Cross multiply
    446,088x = 669,194.40 × 130,567.68
  4. Step 4: Simplify right side
    446,088x = 87,375,160,276.99
  5. Step 5: Solve for x
    x = 87,375,160,276.99/446,088
  6. Step 6: Final answer
    x = 195,869.78

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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.