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Finding the Fourth Proportional to 384,912.20, 577,368.30 and 104,429.45

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Solution

The fourth proportional to 384,912.20, 577,368.30 and 104,429.45 is: 156,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,912.20 : 577,368.30 = 104,429.45 : x
  2. Step 2: Convert to fraction form
    384,912.20/577,368.30 = 104,429.45/x
  3. Step 3: Cross multiply
    384,912.20x = 577,368.30 × 104,429.45
  4. Step 4: Simplify right side
    384,912.20x = 60,294,254,016.44
  5. Step 5: Solve for x
    x = 60,294,254,016.44/384,912.20
  6. Step 6: Final answer
    x = 156,644.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.