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Finding the Fourth Proportional to 427,952.80, 641,314.80 and 314,749.60

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Solution

The fourth proportional to 427,952.80, 641,314.80 and 314,749.60 is: 471,672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,952.80 : 641,314.80 = 314,749.60 : x
  2. Step 2: Convert to fraction form
    427,952.80/641,314.80 = 314,749.60/x
  3. Step 3: Cross multiply
    427,952.80x = 641,314.80 × 314,749.60
  4. Step 4: Simplify right side
    427,952.80x = 201,853,576,774.08
  5. Step 5: Solve for x
    x = 201,853,576,774.08/427,952.80
  6. Step 6: Final answer
    x = 471,672.52

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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.