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Finding the Fourth Proportional to 427,578.15, 590,017.66 and 289,476.15

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Solution

The fourth proportional to 427,578.15, 590,017.66 and 289,476.15 is: 399,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,578.15 : 590,017.66 = 289,476.15 : x
  2. Step 2: Convert to fraction form
    427,578.15/590,017.66 = 289,476.15/x
  3. Step 3: Cross multiply
    427,578.15x = 590,017.66 × 289,476.15
  4. Step 4: Simplify right side
    427,578.15x = 170,796,036,251.34
  5. Step 5: Solve for x
    x = 170,796,036,251.34/427,578.15
  6. Step 6: Final answer
    x = 399,449.87

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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.