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Finding the Fourth Proportional to 384,762.98, 530,971.80 and 214,997.24

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Solution

The fourth proportional to 384,762.98, 530,971.80 and 214,997.24 is: 296,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,762.98 : 530,971.80 = 214,997.24 : x
  2. Step 2: Convert to fraction form
    384,762.98/530,971.80 = 214,997.24/x
  3. Step 3: Cross multiply
    384,762.98x = 530,971.80 × 214,997.24
  4. Step 4: Simplify right side
    384,762.98x = 114,157,471,517.83
  5. Step 5: Solve for x
    x = 114,157,471,517.83/384,762.98
  6. Step 6: Final answer
    x = 296,695.57

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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.