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Finding the Fourth Proportional to 404,730, 558,008.19 and 331,864.43

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Solution

The fourth proportional to 404,730, 558,008.19 and 331,864.43 is: 457,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,730 : 558,008.19 = 331,864.43 : x
  2. Step 2: Convert to fraction form
    404,730/558,008.19 = 331,864.43/x
  3. Step 3: Cross multiply
    404,730x = 558,008.19 × 331,864.43
  4. Step 4: Simplify right side
    404,730x = 185,183,067,119.64
  5. Step 5: Solve for x
    x = 185,183,067,119.64/404,730
  6. Step 6: Final answer
    x = 457,547.17

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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.