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Finding the Fourth Proportional to 498,235, 687,578.88 and 271,895.08

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Solution

The fourth proportional to 498,235, 687,578.88 and 271,895.08 is: 375,223.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,235 : 687,578.88 = 271,895.08 : x
  2. Step 2: Convert to fraction form
    498,235/687,578.88 = 271,895.08/x
  3. Step 3: Cross multiply
    498,235x = 687,578.88 × 271,895.08
  4. Step 4: Simplify right side
    498,235x = 186,949,314,583.91
  5. Step 5: Solve for x
    x = 186,949,314,583.91/498,235
  6. Step 6: Final answer
    x = 375,223.17

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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.