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Finding the Fourth Proportional to 384,006.72, 529,930.80 and 214,248

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Solution

The fourth proportional to 384,006.72, 529,930.80 and 214,248 is: 295,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,006.72 : 529,930.80 = 214,248 : x
  2. Step 2: Convert to fraction form
    384,006.72/529,930.80 = 214,248/x
  3. Step 3: Cross multiply
    384,006.72x = 529,930.80 × 214,248
  4. Step 4: Simplify right side
    384,006.72x = 113,536,614,038.40
  5. Step 5: Solve for x
    x = 113,536,614,038.40/384,006.72
  6. Step 6: Final answer
    x = 295,663.09

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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.