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Finding the Fourth Proportional to 653,311.98, 980,221.50 and 254,233.08

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Solution

The fourth proportional to 653,311.98, 980,221.50 and 254,233.08 is: 381,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,311.98 : 980,221.50 = 254,233.08 : x
  2. Step 2: Convert to fraction form
    653,311.98/980,221.50 = 254,233.08/x
  3. Step 3: Cross multiply
    653,311.98x = 980,221.50 × 254,233.08
  4. Step 4: Simplify right side
    653,311.98x = 249,204,731,027.22
  5. Step 5: Solve for x
    x = 249,204,731,027.22/653,311.98
  6. Step 6: Final answer
    x = 381,448.28

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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.