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Finding the Fourth Proportional to 294,451.76, 406,355.64 and 167,139.20

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Solution

The fourth proportional to 294,451.76, 406,355.64 and 167,139.20 is: 230,659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,451.76 : 406,355.64 = 167,139.20 : x
  2. Step 2: Convert to fraction form
    294,451.76/406,355.64 = 167,139.20/x
  3. Step 3: Cross multiply
    294,451.76x = 406,355.64 × 167,139.20
  4. Step 4: Simplify right side
    294,451.76x = 67,917,956,585.09
  5. Step 5: Solve for x
    x = 67,917,956,585.09/294,451.76
  6. Step 6: Final answer
    x = 230,659.03

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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.