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Finding the Fourth Proportional to 786,985.30, 1,180,963.95 and 313,621.30

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Solution

The fourth proportional to 786,985.30, 1,180,963.95 and 313,621.30 is: 470,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,985.30 : 1,180,963.95 = 313,621.30 : x
  2. Step 2: Convert to fraction form
    786,985.30/1,180,963.95 = 313,621.30/x
  3. Step 3: Cross multiply
    786,985.30x = 1,180,963.95 × 313,621.30
  4. Step 4: Simplify right side
    786,985.30x = 370,375,449,252.14
  5. Step 5: Solve for x
    x = 370,375,449,252.14/786,985.30
  6. Step 6: Final answer
    x = 470,625.63

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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.