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Finding the Fourth Proportional to 409,063.40, 613,615.90 and 128,583.40

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Solution

The fourth proportional to 409,063.40, 613,615.90 and 128,583.40 is: 192,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,063.40 : 613,615.90 = 128,583.40 : x
  2. Step 2: Convert to fraction form
    409,063.40/613,615.90 = 128,583.40/x
  3. Step 3: Cross multiply
    409,063.40x = 613,615.90 × 128,583.40
  4. Step 4: Simplify right side
    409,063.40x = 78,900,818,716.06
  5. Step 5: Solve for x
    x = 78,900,818,716.06/409,063.40
  6. Step 6: Final answer
    x = 192,881.64

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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.