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Finding the Fourth Proportional to 493,653.80, 740,826.30 and 213,372.20

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Solution

The fourth proportional to 493,653.80, 740,826.30 and 213,372.20 is: 320,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,653.80 : 740,826.30 = 213,372.20 : x
  2. Step 2: Convert to fraction form
    493,653.80/740,826.30 = 213,372.20/x
  3. Step 3: Cross multiply
    493,653.80x = 740,826.30 × 213,372.20
  4. Step 4: Simplify right side
    493,653.80x = 158,071,737,448.86
  5. Step 5: Solve for x
    x = 158,071,737,448.86/493,653.80
  6. Step 6: Final answer
    x = 320,207.68

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1.5x scale

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.