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Finding the Fourth Proportional to 417,140.73, 624,995.94 and 280,106.95

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Solution

The fourth proportional to 417,140.73, 624,995.94 and 280,106.95 is: 419,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,140.73 : 624,995.94 = 280,106.95 : x
  2. Step 2: Convert to fraction form
    417,140.73/624,995.94 = 280,106.95/x
  3. Step 3: Cross multiply
    417,140.73x = 624,995.94 × 280,106.95
  4. Step 4: Simplify right side
    417,140.73x = 175,065,706,515.78
  5. Step 5: Solve for x
    x = 175,065,706,515.78/417,140.73
  6. Step 6: Final answer
    x = 419,680.20

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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.