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Finding the Fourth Proportional to 478,077.26, 716,948.78 and 141,028.47

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Solution

The fourth proportional to 478,077.26, 716,948.78 and 141,028.47 is: 211,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,077.26 : 716,948.78 = 141,028.47 : x
  2. Step 2: Convert to fraction form
    478,077.26/716,948.78 = 141,028.47/x
  3. Step 3: Cross multiply
    478,077.26x = 716,948.78 × 141,028.47
  4. Step 4: Simplify right side
    478,077.26x = 101,110,188,806.62
  5. Step 5: Solve for x
    x = 101,110,188,806.62/478,077.26
  6. Step 6: Final answer
    x = 211,493.41

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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.