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Finding the Fourth Proportional to 378,408.71, 567,600.77 and 153,702.66

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Solution

The fourth proportional to 378,408.71, 567,600.77 and 153,702.66 is: 230,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,408.71 : 567,600.77 = 153,702.66 : x
  2. Step 2: Convert to fraction form
    378,408.71/567,600.77 = 153,702.66/x
  3. Step 3: Cross multiply
    378,408.71x = 567,600.77 × 153,702.66
  4. Step 4: Simplify right side
    378,408.71x = 87,241,749,815.23
  5. Step 5: Solve for x
    x = 87,241,749,815.23/378,408.71
  6. Step 6: Final answer
    x = 230,549.00

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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.