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Finding the Fourth Proportional to 490,654, 735,741.08 and 202,411.96

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Solution

The fourth proportional to 490,654, 735,741.08 and 202,411.96 is: 303,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,654 : 735,741.08 = 202,411.96 : x
  2. Step 2: Convert to fraction form
    490,654/735,741.08 = 202,411.96/x
  3. Step 3: Cross multiply
    490,654x = 735,741.08 × 202,411.96
  4. Step 4: Simplify right side
    490,654x = 148,922,794,055.32
  5. Step 5: Solve for x
    x = 148,922,794,055.32/490,654
  6. Step 6: Final answer
    x = 303,518.96

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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.