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Finding the Fourth Proportional to 384,744.38, 530,947.26 and 214,978.50

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Solution

The fourth proportional to 384,744.38, 530,947.26 and 214,978.50 is: 296,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,744.38 : 530,947.26 = 214,978.50 : x
  2. Step 2: Convert to fraction form
    384,744.38/530,947.26 = 214,978.50/x
  3. Step 3: Cross multiply
    384,744.38x = 530,947.26 × 214,978.50
  4. Step 4: Simplify right side
    384,744.38x = 114,142,245,533.91
  5. Step 5: Solve for x
    x = 114,142,245,533.91/384,744.38
  6. Step 6: Final answer
    x = 296,670.34

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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.