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Finding the Fourth Proportional to 291,978.15, 437,790.24 and 142,067.40

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Solution

The fourth proportional to 291,978.15, 437,790.24 and 142,067.40 is: 213,014.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,978.15 : 437,790.24 = 142,067.40 : x
  2. Step 2: Convert to fraction form
    291,978.15/437,790.24 = 142,067.40/x
  3. Step 3: Cross multiply
    291,978.15x = 437,790.24 × 142,067.40
  4. Step 4: Simplify right side
    291,978.15x = 62,195,721,142.18
  5. Step 5: Solve for x
    x = 62,195,721,142.18/291,978.15
  6. Step 6: Final answer
    x = 213,014.98

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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.