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Finding the Fourth Proportional to 409,670.84, 614,506.25 and 129,209.96

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Solution

The fourth proportional to 409,670.84, 614,506.25 and 129,209.96 is: 193,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,670.84 : 614,506.25 = 129,209.96 : x
  2. Step 2: Convert to fraction form
    409,670.84/614,506.25 = 129,209.96/x
  3. Step 3: Cross multiply
    409,670.84x = 614,506.25 × 129,209.96
  4. Step 4: Simplify right side
    409,670.84x = 79,400,325,232.74
  5. Step 5: Solve for x
    x = 79,400,325,232.74/409,670.84
  6. Step 6: Final answer
    x = 193,814.93

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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.