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Finding the Fourth Proportional to 384,551.58, 530,678.06 and 212,469

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Solution

The fourth proportional to 384,551.58, 530,678.06 and 212,469 is: 293,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,551.58 : 530,678.06 = 212,469 : x
  2. Step 2: Convert to fraction form
    384,551.58/530,678.06 = 212,469/x
  3. Step 3: Cross multiply
    384,551.58x = 530,678.06 × 212,469
  4. Step 4: Simplify right side
    384,551.58x = 112,752,636,730.14
  5. Step 5: Solve for x
    x = 112,752,636,730.14/384,551.58
  6. Step 6: Final answer
    x = 293,205.50

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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.