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Finding the Fourth Proportional to 652,280.30, 978,420.45 and 416,084.30

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Solution

The fourth proportional to 652,280.30, 978,420.45 and 416,084.30 is: 624,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,280.30 : 978,420.45 = 416,084.30 : x
  2. Step 2: Convert to fraction form
    652,280.30/978,420.45 = 416,084.30/x
  3. Step 3: Cross multiply
    652,280.30x = 978,420.45 × 416,084.30
  4. Step 4: Simplify right side
    652,280.30x = 407,105,388,043.94
  5. Step 5: Solve for x
    x = 407,105,388,043.94/652,280.30
  6. Step 6: Final answer
    x = 624,126.45

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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.