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Finding the Fourth Proportional to 384,727.86, 530,907.98 and 212,636.97

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Solution

The fourth proportional to 384,727.86, 530,907.98 and 212,636.97 is: 293,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,727.86 : 530,907.98 = 212,636.97 : x
  2. Step 2: Convert to fraction form
    384,727.86/530,907.98 = 212,636.97/x
  3. Step 3: Cross multiply
    384,727.86x = 530,907.98 × 212,636.97
  4. Step 4: Simplify right side
    384,727.86x = 112,890,663,152.84
  5. Step 5: Solve for x
    x = 112,890,663,152.84/384,727.86
  6. Step 6: Final answer
    x = 293,429.91

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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.