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Finding the Fourth Proportional to 493,708.32, 740,002.80 and 209,221.84

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Solution

The fourth proportional to 493,708.32, 740,002.80 and 209,221.84 is: 313,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,708.32 : 740,002.80 = 209,221.84 : x
  2. Step 2: Convert to fraction form
    493,708.32/740,002.80 = 209,221.84/x
  3. Step 3: Cross multiply
    493,708.32x = 740,002.80 × 209,221.84
  4. Step 4: Simplify right side
    493,708.32x = 154,824,747,421.15
  5. Step 5: Solve for x
    x = 154,824,747,421.15/493,708.32
  6. Step 6: Final answer
    x = 313,595.58

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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.