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Finding the Fourth Proportional to 288,281.84, 432,071.82 and 204,065.87

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Solution

The fourth proportional to 288,281.84, 432,071.82 and 204,065.87 is: 305,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,281.84 : 432,071.82 = 204,065.87 : x
  2. Step 2: Convert to fraction form
    288,281.84/432,071.82 = 204,065.87/x
  3. Step 3: Cross multiply
    288,281.84x = 432,071.82 × 204,065.87
  4. Step 4: Simplify right side
    288,281.84x = 88,171,109,690.42
  5. Step 5: Solve for x
    x = 88,171,109,690.42/288,281.84
  6. Step 6: Final answer
    x = 305,850.38

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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.