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Finding the Fourth Proportional to 294,719, 406,712.28 and 160,583

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Solution

The fourth proportional to 294,719, 406,712.28 and 160,583 is: 221,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,719 : 406,712.28 = 160,583 : x
  2. Step 2: Convert to fraction form
    294,719/406,712.28 = 160,583/x
  3. Step 3: Cross multiply
    294,719x = 406,712.28 × 160,583
  4. Step 4: Simplify right side
    294,719x = 65,311,078,059.24
  5. Step 5: Solve for x
    x = 65,311,078,059.24/294,719
  6. Step 6: Final answer
    x = 221,604.57

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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.