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Finding the Fourth Proportional to 467,142.86, 640,452.70 and 458,630.13

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Solution

The fourth proportional to 467,142.86, 640,452.70 and 458,630.13 is: 628,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,142.86 : 640,452.70 = 458,630.13 : x
  2. Step 2: Convert to fraction form
    467,142.86/640,452.70 = 458,630.13/x
  3. Step 3: Cross multiply
    467,142.86x = 640,452.70 × 458,630.13
  4. Step 4: Simplify right side
    467,142.86x = 293,730,905,393.99
  5. Step 5: Solve for x
    x = 293,730,905,393.99/467,142.86
  6. Step 6: Final answer
    x = 628,781.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.