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Finding the Fourth Proportional to 490,098.40, 734,564.40 and 205,788.40

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Solution

The fourth proportional to 490,098.40, 734,564.40 and 205,788.40 is: 308,437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,098.40 : 734,564.40 = 205,788.40 : x
  2. Step 2: Convert to fraction form
    490,098.40/734,564.40 = 205,788.40/x
  3. Step 3: Cross multiply
    490,098.40x = 734,564.40 × 205,788.40
  4. Step 4: Simplify right side
    490,098.40x = 151,164,832,572.96
  5. Step 5: Solve for x
    x = 151,164,832,572.96/490,098.40
  6. Step 6: Final answer
    x = 308,437.72

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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.