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Finding the Fourth Proportional to 384,893.77, 531,130.67 and 212,798.23

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Solution

The fourth proportional to 384,893.77, 531,130.67 and 212,798.23 is: 293,648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,893.77 : 531,130.67 = 212,798.23 : x
  2. Step 2: Convert to fraction form
    384,893.77/531,130.67 = 212,798.23/x
  3. Step 3: Cross multiply
    384,893.77x = 531,130.67 × 212,798.23
  4. Step 4: Simplify right side
    384,893.77x = 113,023,664,082.90
  5. Step 5: Solve for x
    x = 113,023,664,082.90/384,893.77
  6. Step 6: Final answer
    x = 293,648.98

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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.