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Finding the Fourth Proportional to 384,748, 530,942.34 and 214,983.52

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Solution

The fourth proportional to 384,748, 530,942.34 and 214,983.52 is: 296,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,748 : 530,942.34 = 214,983.52 : x
  2. Step 2: Convert to fraction form
    384,748/530,942.34 = 214,983.52/x
  3. Step 3: Cross multiply
    384,748x = 530,942.34 × 214,983.52
  4. Step 4: Simplify right side
    384,748x = 114,143,853,170.24
  5. Step 5: Solve for x
    x = 114,143,853,170.24/384,748
  6. Step 6: Final answer
    x = 296,671.73

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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.