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Finding the Fourth Proportional to 381,063.45, 525,874.78 and 208,970.51

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Solution

The fourth proportional to 381,063.45, 525,874.78 and 208,970.51 is: 288,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,063.45 : 525,874.78 = 208,970.51 : x
  2. Step 2: Convert to fraction form
    381,063.45/525,874.78 = 208,970.51/x
  3. Step 3: Cross multiply
    381,063.45x = 525,874.78 × 208,970.51
  4. Step 4: Simplify right side
    381,063.45x = 109,892,319,927.89
  5. Step 5: Solve for x
    x = 109,892,319,927.89/381,063.45
  6. Step 6: Final answer
    x = 288,383.26

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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.