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Finding the Fourth Proportional to 280,653.84, 386,801.28 and 212,508

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Solution

The fourth proportional to 280,653.84, 386,801.28 and 212,508 is: 292,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,653.84 : 386,801.28 = 212,508 : x
  2. Step 2: Convert to fraction form
    280,653.84/386,801.28 = 212,508/x
  3. Step 3: Cross multiply
    280,653.84x = 386,801.28 × 212,508
  4. Step 4: Simplify right side
    280,653.84x = 82,198,366,410.24
  5. Step 5: Solve for x
    x = 82,198,366,410.24/280,653.84
  6. Step 6: Final answer
    x = 292,881.67

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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.