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Finding the Fourth Proportional to 427,241.08, 640,301 and 314,392.90

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Solution

The fourth proportional to 427,241.08, 640,301 and 314,392.90 is: 471,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,241.08 : 640,301 = 314,392.90 : x
  2. Step 2: Convert to fraction form
    427,241.08/640,301 = 314,392.90/x
  3. Step 3: Cross multiply
    427,241.08x = 640,301 × 314,392.90
  4. Step 4: Simplify right side
    427,241.08x = 201,306,088,262.90
  5. Step 5: Solve for x
    x = 201,306,088,262.90/427,241.08
  6. Step 6: Final answer
    x = 471,176.81

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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.