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Finding the Fourth Proportional to 378,658.64, 567,822.24 and 141,835.28

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Solution

The fourth proportional to 378,658.64, 567,822.24 and 141,835.28 is: 212,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,658.64 : 567,822.24 = 141,835.28 : x
  2. Step 2: Convert to fraction form
    378,658.64/567,822.24 = 141,835.28/x
  3. Step 3: Cross multiply
    378,658.64x = 567,822.24 × 141,835.28
  4. Step 4: Simplify right side
    378,658.64x = 80,537,226,400.63
  5. Step 5: Solve for x
    x = 80,537,226,400.63/378,658.64
  6. Step 6: Final answer
    x = 212,690.85

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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.