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Finding the Fourth Proportional to 486,042.68, 729,064.34 and 166,196.91

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Solution

The fourth proportional to 486,042.68, 729,064.34 and 166,196.91 is: 249,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,042.68 : 729,064.34 = 166,196.91 : x
  2. Step 2: Convert to fraction form
    486,042.68/729,064.34 = 166,196.91/x
  3. Step 3: Cross multiply
    486,042.68x = 729,064.34 × 166,196.91
  4. Step 4: Simplify right side
    486,042.68x = 121,168,243,960.29
  5. Step 5: Solve for x
    x = 121,168,243,960.29/486,042.68
  6. Step 6: Final answer
    x = 249,295.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.