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Finding the Fourth Proportional to 538,348.16, 806,760.66 and 298,567.64

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Solution

The fourth proportional to 538,348.16, 806,760.66 and 298,567.64 is: 447,429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,348.16 : 806,760.66 = 298,567.64 : x
  2. Step 2: Convert to fraction form
    538,348.16/806,760.66 = 298,567.64/x
  3. Step 3: Cross multiply
    538,348.16x = 806,760.66 × 298,567.64
  4. Step 4: Simplify right side
    538,348.16x = 240,872,626,301.04
  5. Step 5: Solve for x
    x = 240,872,626,301.04/538,348.16
  6. Step 6: Final answer
    x = 447,429.09

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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.