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Finding the Fourth Proportional to 289,251.34, 399,166.84 and 176,074.08

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Solution

The fourth proportional to 289,251.34, 399,166.84 and 176,074.08 is: 242,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,251.34 : 399,166.84 = 176,074.08 : x
  2. Step 2: Convert to fraction form
    289,251.34/399,166.84 = 176,074.08/x
  3. Step 3: Cross multiply
    289,251.34x = 399,166.84 × 176,074.08
  4. Step 4: Simplify right side
    289,251.34x = 70,282,934,119.51
  5. Step 5: Solve for x
    x = 70,282,934,119.51/289,251.34
  6. Step 6: Final answer
    x = 242,982.22

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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.