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Finding the Fourth Proportional to 409,599, 614,502.21 and 114,111

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Solution

The fourth proportional to 409,599, 614,502.21 and 114,111 is: 171,195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,599 : 614,502.21 = 114,111 : x
  2. Step 2: Convert to fraction form
    409,599/614,502.21 = 114,111/x
  3. Step 3: Cross multiply
    409,599x = 614,502.21 × 114,111
  4. Step 4: Simplify right side
    409,599x = 70,121,461,685.31
  5. Step 5: Solve for x
    x = 70,121,461,685.31/409,599
  6. Step 6: Final answer
    x = 171,195.39

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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.