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Finding the Fourth Proportional to 348,226, 480,551.88 and 206,914

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Solution

The fourth proportional to 348,226, 480,551.88 and 206,914 is: 285,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,226 : 480,551.88 = 206,914 : x
  2. Step 2: Convert to fraction form
    348,226/480,551.88 = 206,914/x
  3. Step 3: Cross multiply
    348,226x = 480,551.88 × 206,914
  4. Step 4: Simplify right side
    348,226x = 99,432,911,698.32
  5. Step 5: Solve for x
    x = 99,432,911,698.32/348,226
  6. Step 6: Final answer
    x = 285,541.32

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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.