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Finding the Fourth Proportional to 499,400.22, 689,009.58 and 305,605.71

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Solution

The fourth proportional to 499,400.22, 689,009.58 and 305,605.71 is: 421,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,400.22 : 689,009.58 = 305,605.71 : x
  2. Step 2: Convert to fraction form
    499,400.22/689,009.58 = 305,605.71/x
  3. Step 3: Cross multiply
    499,400.22x = 689,009.58 × 305,605.71
  4. Step 4: Simplify right side
    499,400.22x = 210,565,261,892.70
  5. Step 5: Solve for x
    x = 210,565,261,892.70/499,400.22
  6. Step 6: Final answer
    x = 421,636.30

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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.