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Finding the Fourth Proportional to 298,407.26, 447,625.76 and 85,206.80

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Solution

The fourth proportional to 298,407.26, 447,625.76 and 85,206.80 is: 127,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,407.26 : 447,625.76 = 85,206.80 : x
  2. Step 2: Convert to fraction form
    298,407.26/447,625.76 = 85,206.80/x
  3. Step 3: Cross multiply
    298,407.26x = 447,625.76 × 85,206.80
  4. Step 4: Simplify right side
    298,407.26x = 38,140,758,607.17
  5. Step 5: Solve for x
    x = 38,140,758,607.17/298,407.26
  6. Step 6: Final answer
    x = 127,814.45

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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.