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Finding the Fourth Proportional to 268,161.76, 401,698.32 and 208,753.12

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Solution

The fourth proportional to 268,161.76, 401,698.32 and 208,753.12 is: 312,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,161.76 : 401,698.32 = 208,753.12 : x
  2. Step 2: Convert to fraction form
    268,161.76/401,698.32 = 208,753.12/x
  3. Step 3: Cross multiply
    268,161.76x = 401,698.32 × 208,753.12
  4. Step 4: Simplify right side
    268,161.76x = 83,855,777,598.76
  5. Step 5: Solve for x
    x = 83,855,777,598.76/268,161.76
  6. Step 6: Final answer
    x = 312,705.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.