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Finding the Fourth Proportional to 652,277.30, 978,415.95 and 416,081.30

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Solution

The fourth proportional to 652,277.30, 978,415.95 and 416,081.30 is: 624,121.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,277.30 : 978,415.95 = 416,081.30 : x
  2. Step 2: Convert to fraction form
    652,277.30/978,415.95 = 416,081.30/x
  3. Step 3: Cross multiply
    652,277.30x = 978,415.95 × 416,081.30
  4. Step 4: Simplify right side
    652,277.30x = 407,100,580,416.74
  5. Step 5: Solve for x
    x = 407,100,580,416.74/652,277.30
  6. Step 6: Final answer
    x = 624,121.95

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Similar ratio
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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.