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Finding the Fourth Proportional to 294,861, 406,908.36 and 160,725

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Solution

The fourth proportional to 294,861, 406,908.36 and 160,725 is: 221,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,861 : 406,908.36 = 160,725 : x
  2. Step 2: Convert to fraction form
    294,861/406,908.36 = 160,725/x
  3. Step 3: Cross multiply
    294,861x = 406,908.36 × 160,725
  4. Step 4: Simplify right side
    294,861x = 65,400,346,161
  5. Step 5: Solve for x
    x = 65,400,346,161/294,861
  6. Step 6: Final answer
    x = 221,800.60

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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.