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Finding the Fourth Proportional to 381,064.96, 525,876.84 and 208,972.02

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Solution

The fourth proportional to 381,064.96, 525,876.84 and 208,972.02 is: 288,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,064.96 : 525,876.84 = 208,972.02 : x
  2. Step 2: Convert to fraction form
    381,064.96/525,876.84 = 208,972.02/x
  3. Step 3: Cross multiply
    381,064.96x = 525,876.84 × 208,972.02
  4. Step 4: Simplify right side
    381,064.96x = 109,893,545,526.02
  5. Step 5: Solve for x
    x = 109,893,545,526.02/381,064.96
  6. Step 6: Final answer
    x = 288,385.33

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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.