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Finding the Fourth Proportional to 381,066.45, 525,878.92 and 208,973.51

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Solution

The fourth proportional to 381,066.45, 525,878.92 and 208,973.51 is: 288,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,066.45 : 525,878.92 = 208,973.51 : x
  2. Step 2: Convert to fraction form
    381,066.45/525,878.92 = 208,973.51/x
  3. Step 3: Cross multiply
    381,066.45x = 525,878.92 × 208,973.51
  4. Step 4: Simplify right side
    381,066.45x = 109,894,763,747.41
  5. Step 5: Solve for x
    x = 109,894,763,747.41/381,066.45
  6. Step 6: Final answer
    x = 288,387.40

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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.