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Finding the Fourth Proportional to 416,287.84, 624,431.78 and 100,744.76

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Solution

The fourth proportional to 416,287.84, 624,431.78 and 100,744.76 is: 151,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,287.84 : 624,431.78 = 100,744.76 : x
  2. Step 2: Convert to fraction form
    416,287.84/624,431.78 = 100,744.76/x
  3. Step 3: Cross multiply
    416,287.84x = 624,431.78 × 100,744.76
  4. Step 4: Simplify right side
    416,287.84x = 62,908,229,812.47
  5. Step 5: Solve for x
    x = 62,908,229,812.47/416,287.84
  6. Step 6: Final answer
    x = 151,117.14

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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.