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Finding the Fourth Proportional to 384,757.50, 530,965.35 and 214,991.64

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Solution

The fourth proportional to 384,757.50, 530,965.35 and 214,991.64 is: 296,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,757.50 : 530,965.35 = 214,991.64 : x
  2. Step 2: Convert to fraction form
    384,757.50/530,965.35 = 214,991.64/x
  3. Step 3: Cross multiply
    384,757.50x = 530,965.35 × 214,991.64
  4. Step 4: Simplify right side
    384,757.50x = 114,153,111,379.67
  5. Step 5: Solve for x
    x = 114,153,111,379.67/384,757.50
  6. Step 6: Final answer
    x = 296,688.46

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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.