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Finding the Fourth Proportional to 380,983.52, 525,728.52 and 208,874

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Solution

The fourth proportional to 380,983.52, 525,728.52 and 208,874 is: 288,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,983.52 : 525,728.52 = 208,874 : x
  2. Step 2: Convert to fraction form
    380,983.52/525,728.52 = 208,874/x
  3. Step 3: Cross multiply
    380,983.52x = 525,728.52 × 208,874
  4. Step 4: Simplify right side
    380,983.52x = 109,811,018,886.48
  5. Step 5: Solve for x
    x = 109,811,018,886.48/380,983.52
  6. Step 6: Final answer
    x = 288,230.36

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1.5x scale

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.