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Finding the Fourth Proportional to 294,780, 406,799.28 and 160,646.88

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Solution

The fourth proportional to 294,780, 406,799.28 and 160,646.88 is: 221,694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,780 : 406,799.28 = 160,646.88 : x
  2. Step 2: Convert to fraction form
    294,780/406,799.28 = 160,646.88/x
  3. Step 3: Cross multiply
    294,780x = 406,799.28 × 160,646.88
  4. Step 4: Simplify right side
    294,780x = 65,351,035,118.25
  5. Step 5: Solve for x
    x = 65,351,035,118.25/294,780
  6. Step 6: Final answer
    x = 221,694.26

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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.