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Finding the Fourth Proportional to 384,710.16, 530,882.96 and 214,940.64

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Solution

The fourth proportional to 384,710.16, 530,882.96 and 214,940.64 is: 296,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,710.16 : 530,882.96 = 214,940.64 : x
  2. Step 2: Convert to fraction form
    384,710.16/530,882.96 = 214,940.64/x
  3. Step 3: Cross multiply
    384,710.16x = 530,882.96 × 214,940.64
  4. Step 4: Simplify right side
    384,710.16x = 114,108,323,187.49
  5. Step 5: Solve for x
    x = 114,108,323,187.49/384,710.16
  6. Step 6: Final answer
    x = 296,608.55

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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.