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Finding the Fourth Proportional to 901,782, 1,352,880.36 and 310,806

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Solution

The fourth proportional to 901,782, 1,352,880.36 and 310,806 is: 466,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,782 : 1,352,880.36 = 310,806 : x
  2. Step 2: Convert to fraction form
    901,782/1,352,880.36 = 310,806/x
  3. Step 3: Cross multiply
    901,782x = 1,352,880.36 × 310,806
  4. Step 4: Simplify right side
    901,782x = 420,483,333,170.16
  5. Step 5: Solve for x
    x = 420,483,333,170.16/901,782
  6. Step 6: Final answer
    x = 466,280.47

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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.