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Finding the Fourth Proportional to 291,980.15, 437,793.24 and 142,069.40

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Solution

The fourth proportional to 291,980.15, 437,793.24 and 142,069.40 is: 213,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,980.15 : 437,793.24 = 142,069.40 : x
  2. Step 2: Convert to fraction form
    291,980.15/437,793.24 = 142,069.40/x
  3. Step 3: Cross multiply
    291,980.15x = 437,793.24 × 142,069.40
  4. Step 4: Simplify right side
    291,980.15x = 62,197,022,930.86
  5. Step 5: Solve for x
    x = 62,197,022,930.86/291,980.15
  6. Step 6: Final answer
    x = 213,017.98

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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.