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Finding the Fourth Proportional to 384,011.72, 529,937.70 and 214,253

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Solution

The fourth proportional to 384,011.72, 529,937.70 and 214,253 is: 295,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,011.72 : 529,937.70 = 214,253 : x
  2. Step 2: Convert to fraction form
    384,011.72/529,937.70 = 214,253/x
  3. Step 3: Cross multiply
    384,011.72x = 529,937.70 × 214,253
  4. Step 4: Simplify right side
    384,011.72x = 113,540,742,038.10
  5. Step 5: Solve for x
    x = 113,540,742,038.10/384,011.72
  6. Step 6: Final answer
    x = 295,669.99

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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.