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Finding the Fourth Proportional to 418,715.22, 628,073.18 and 103,172.16

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Solution

The fourth proportional to 418,715.22, 628,073.18 and 103,172.16 is: 154,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,715.22 : 628,073.18 = 103,172.16 : x
  2. Step 2: Convert to fraction form
    418,715.22/628,073.18 = 103,172.16/x
  3. Step 3: Cross multiply
    418,715.22x = 628,073.18 × 103,172.16
  4. Step 4: Simplify right side
    418,715.22x = 64,799,666,102.81
  5. Step 5: Solve for x
    x = 64,799,666,102.81/418,715.22
  6. Step 6: Final answer
    x = 154,758.33

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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.