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Finding the Fourth Proportional to 478,515.48, 716,496.66 and 378,879

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Solution

The fourth proportional to 478,515.48, 716,496.66 and 378,879 is: 567,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,515.48 : 716,496.66 = 378,879 : x
  2. Step 2: Convert to fraction form
    478,515.48/716,496.66 = 378,879/x
  3. Step 3: Cross multiply
    478,515.48x = 716,496.66 × 378,879
  4. Step 4: Simplify right side
    478,515.48x = 271,465,538,044.14
  5. Step 5: Solve for x
    x = 271,465,538,044.14/478,515.48
  6. Step 6: Final answer
    x = 567,307.75

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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.