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Finding the Fourth Proportional to 409,661.64, 614,492.48 and 129,178.89

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Solution

The fourth proportional to 409,661.64, 614,492.48 and 129,178.89 is: 193,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,661.64 : 614,492.48 = 129,178.89 : x
  2. Step 2: Convert to fraction form
    409,661.64/614,492.48 = 129,178.89/x
  3. Step 3: Cross multiply
    409,661.64x = 614,492.48 × 129,178.89
  4. Step 4: Simplify right side
    409,661.64x = 79,379,456,802.69
  5. Step 5: Solve for x
    x = 79,379,456,802.69/409,661.64
  6. Step 6: Final answer
    x = 193,768.34

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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.