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Finding the Fourth Proportional to 407,721.40, 611,193.30 and 317,714.20

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Solution

The fourth proportional to 407,721.40, 611,193.30 and 317,714.20 is: 476,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,721.40 : 611,193.30 = 317,714.20 : x
  2. Step 2: Convert to fraction form
    407,721.40/611,193.30 = 317,714.20/x
  3. Step 3: Cross multiply
    407,721.40x = 611,193.30 × 317,714.20
  4. Step 4: Simplify right side
    407,721.40x = 194,184,790,354.86
  5. Step 5: Solve for x
    x = 194,184,790,354.86/407,721.40
  6. Step 6: Final answer
    x = 476,268.33

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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.