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Finding the Fourth Proportional to 409,407.94, 614,027.19 and 109,817.29

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Solution

The fourth proportional to 409,407.94, 614,027.19 and 109,817.29 is: 164,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,407.94 : 614,027.19 = 109,817.29 : x
  2. Step 2: Convert to fraction form
    409,407.94/614,027.19 = 109,817.29/x
  3. Step 3: Cross multiply
    409,407.94x = 614,027.19 × 109,817.29
  4. Step 4: Simplify right side
    409,407.94x = 67,430,798,921.98
  5. Step 5: Solve for x
    x = 67,430,798,921.98/409,407.94
  6. Step 6: Final answer
    x = 164,703.20

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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.