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Finding the Fourth Proportional to 381,064.45, 525,876.16 and 208,971.51

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Solution

The fourth proportional to 381,064.45, 525,876.16 and 208,971.51 is: 288,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,064.45 : 525,876.16 = 208,971.51 : x
  2. Step 2: Convert to fraction form
    381,064.45/525,876.16 = 208,971.51/x
  3. Step 3: Cross multiply
    381,064.45x = 525,876.16 × 208,971.51
  4. Step 4: Simplify right side
    381,064.45x = 109,893,135,228.20
  5. Step 5: Solve for x
    x = 109,893,135,228.20/381,064.45
  6. Step 6: Final answer
    x = 288,384.64

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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.