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Finding the Fourth Proportional to 427,578.40, 590,018 and 289,476.40

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Solution

The fourth proportional to 427,578.40, 590,018 and 289,476.40 is: 399,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,578.40 : 590,018 = 289,476.40 : x
  2. Step 2: Convert to fraction form
    427,578.40/590,018 = 289,476.40/x
  3. Step 3: Cross multiply
    427,578.40x = 590,018 × 289,476.40
  4. Step 4: Simplify right side
    427,578.40x = 170,796,283,625.11
  5. Step 5: Solve for x
    x = 170,796,283,625.11/427,578.40
  6. Step 6: Final answer
    x = 399,450.21

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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.