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Finding the Fourth Proportional to 378,477.48, 568,109.94 and 278,750.28

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Solution

The fourth proportional to 378,477.48, 568,109.94 and 278,750.28 is: 418,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,477.48 : 568,109.94 = 278,750.28 : x
  2. Step 2: Convert to fraction form
    378,477.48/568,109.94 = 278,750.28/x
  3. Step 3: Cross multiply
    378,477.48x = 568,109.94 × 278,750.28
  4. Step 4: Simplify right side
    378,477.48x = 158,360,804,845.78
  5. Step 5: Solve for x
    x = 158,360,804,845.78/378,477.48
  6. Step 6: Final answer
    x = 418,415.40

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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.