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Finding the Fourth Proportional to 493,973.32, 681,714.50 and 302,960.68

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Solution

The fourth proportional to 493,973.32, 681,714.50 and 302,960.68 is: 418,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,973.32 : 681,714.50 = 302,960.68 : x
  2. Step 2: Convert to fraction form
    493,973.32/681,714.50 = 302,960.68/x
  3. Step 3: Cross multiply
    493,973.32x = 681,714.50 × 302,960.68
  4. Step 4: Simplify right side
    493,973.32x = 206,532,688,485.86
  5. Step 5: Solve for x
    x = 206,532,688,485.86/493,973.32
  6. Step 6: Final answer
    x = 418,104.95

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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.