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Finding the Fourth Proportional to 429,226.47, 643,690.98 and 215,911.94

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Solution

The fourth proportional to 429,226.47, 643,690.98 and 215,911.94 is: 323,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,226.47 : 643,690.98 = 215,911.94 : x
  2. Step 2: Convert to fraction form
    429,226.47/643,690.98 = 215,911.94/x
  3. Step 3: Cross multiply
    429,226.47x = 643,690.98 × 215,911.94
  4. Step 4: Simplify right side
    429,226.47x = 138,980,565,033.85
  5. Step 5: Solve for x
    x = 138,980,565,033.85/429,226.47
  6. Step 6: Final answer
    x = 323,793.09

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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.