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Finding the Fourth Proportional to 384,909.87, 531,166.17 and 212,823.30

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Solution

The fourth proportional to 384,909.87, 531,166.17 and 212,823.30 is: 293,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,909.87 : 531,166.17 = 212,823.30 : x
  2. Step 2: Convert to fraction form
    384,909.87/531,166.17 = 212,823.30/x
  3. Step 3: Cross multiply
    384,909.87x = 531,166.17 × 212,823.30
  4. Step 4: Simplify right side
    384,909.87x = 113,044,537,147.76
  5. Step 5: Solve for x
    x = 113,044,537,147.76/384,909.87
  6. Step 6: Final answer
    x = 293,690.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.