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Finding the Fourth Proportional to 427,427.40, 641,198.70 and 147,030.60

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Solution

The fourth proportional to 427,427.40, 641,198.70 and 147,030.60 is: 220,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,427.40 : 641,198.70 = 147,030.60 : x
  2. Step 2: Convert to fraction form
    427,427.40/641,198.70 = 147,030.60/x
  3. Step 3: Cross multiply
    427,427.40x = 641,198.70 × 147,030.60
  4. Step 4: Simplify right side
    427,427.40x = 94,275,829,580.22
  5. Step 5: Solve for x
    x = 94,275,829,580.22/427,427.40
  6. Step 6: Final answer
    x = 220,565.71

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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.