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Finding the Fourth Proportional to 294,574, 406,512.12 and 160,438

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Solution

The fourth proportional to 294,574, 406,512.12 and 160,438 is: 221,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,574 : 406,512.12 = 160,438 : x
  2. Step 2: Convert to fraction form
    294,574/406,512.12 = 160,438/x
  3. Step 3: Cross multiply
    294,574x = 406,512.12 × 160,438
  4. Step 4: Simplify right side
    294,574x = 65,219,991,508.56
  5. Step 5: Solve for x
    x = 65,219,991,508.56/294,574
  6. Step 6: Final answer
    x = 221,404.44

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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.