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Finding the Fourth Proportional to 309,101.68, 426,706.42 and 207,193.72

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Solution

The fourth proportional to 309,101.68, 426,706.42 and 207,193.72 is: 286,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,101.68 : 426,706.42 = 207,193.72 : x
  2. Step 2: Convert to fraction form
    309,101.68/426,706.42 = 207,193.72/x
  3. Step 3: Cross multiply
    309,101.68x = 426,706.42 × 207,193.72
  4. Step 4: Simplify right side
    309,101.68x = 88,410,887,338.18
  5. Step 5: Solve for x
    x = 88,410,887,338.18/309,101.68
  6. Step 6: Final answer
    x = 286,025.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.