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Finding the Fourth Proportional to 346,722.10, 520,083.15 and 213,169.30

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Solution

The fourth proportional to 346,722.10, 520,083.15 and 213,169.30 is: 319,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,722.10 : 520,083.15 = 213,169.30 : x
  2. Step 2: Convert to fraction form
    346,722.10/520,083.15 = 213,169.30/x
  3. Step 3: Cross multiply
    346,722.10x = 520,083.15 × 213,169.30
  4. Step 4: Simplify right side
    346,722.10x = 110,865,761,027.30
  5. Step 5: Solve for x
    x = 110,865,761,027.30/346,722.10
  6. Step 6: Final answer
    x = 319,753.95

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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.