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Finding the Fourth Proportional to 448,402.98, 672,140.94 and 208,321.02

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Solution

The fourth proportional to 448,402.98, 672,140.94 and 208,321.02 is: 312,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,402.98 : 672,140.94 = 208,321.02 : x
  2. Step 2: Convert to fraction form
    448,402.98/672,140.94 = 208,321.02/x
  3. Step 3: Cross multiply
    448,402.98x = 672,140.94 × 208,321.02
  4. Step 4: Simplify right side
    448,402.98x = 140,021,086,204.56
  5. Step 5: Solve for x
    x = 140,021,086,204.56/448,402.98
  6. Step 6: Final answer
    x = 312,266.18

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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.