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Finding the Fourth Proportional to 384,102.86, 530,009.26 and 214,304.18

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Solution

The fourth proportional to 384,102.86, 530,009.26 and 214,304.18 is: 295,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,102.86 : 530,009.26 = 214,304.18 : x
  2. Step 2: Convert to fraction form
    384,102.86/530,009.26 = 214,304.18/x
  3. Step 3: Cross multiply
    384,102.86x = 530,009.26 × 214,304.18
  4. Step 4: Simplify right side
    384,102.86x = 113,583,196,670.90
  5. Step 5: Solve for x
    x = 113,583,196,670.90/384,102.86
  6. Step 6: Final answer
    x = 295,710.37

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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.