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Finding the Fourth Proportional to 295,193,134.40, 442,978,658.40 and 172,371,214.40

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Solution

The fourth proportional to 295,193,134.40, 442,978,658.40 and 172,371,214.40 is: 258,667,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,193,134.40 : 442,978,658.40 = 172,371,214.40 : x
  2. Step 2: Convert to fraction form
    295,193,134.40/442,978,658.40 = 172,371,214.40/x
  3. Step 3: Cross multiply
    295,193,134.40x = 442,978,658.40 × 172,371,214.40
  4. Step 4: Simplify right side
    295,193,134.40x = 76,356,769,301,690,752
  5. Step 5: Solve for x
    x = 76,356,769,301,690,752/295,193,134.40
  6. Step 6: Final answer
    x = 258,667,158.56

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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.