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Finding the Fourth Proportional to 653,876.20, 980,814.30 and 338,429.80

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Solution

The fourth proportional to 653,876.20, 980,814.30 and 338,429.80 is: 507,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,876.20 : 980,814.30 = 338,429.80 : x
  2. Step 2: Convert to fraction form
    653,876.20/980,814.30 = 338,429.80/x
  3. Step 3: Cross multiply
    653,876.20x = 980,814.30 × 338,429.80
  4. Step 4: Simplify right side
    653,876.20x = 331,936,787,386.14
  5. Step 5: Solve for x
    x = 331,936,787,386.14/653,876.20
  6. Step 6: Final answer
    x = 507,644.70

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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.