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Finding the Fourth Proportional to 427,275.96, 640,353.12 and 314,427.84

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Solution

The fourth proportional to 427,275.96, 640,353.12 and 314,427.84 is: 471,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,275.96 : 640,353.12 = 314,427.84 : x
  2. Step 2: Convert to fraction form
    427,275.96/640,353.12 = 314,427.84/x
  3. Step 3: Cross multiply
    427,275.96x = 640,353.12 × 314,427.84
  4. Step 4: Simplify right side
    427,275.96x = 201,344,848,358.86
  5. Step 5: Solve for x
    x = 201,344,848,358.86/427,275.96
  6. Step 6: Final answer
    x = 471,229.06

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1.5x scale

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.