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Finding the Fourth Proportional to 787,980, 1,181,970 and 197,004

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Solution

The fourth proportional to 787,980, 1,181,970 and 197,004 is: 295,506

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,980 : 1,181,970 = 197,004 : x
  2. Step 2: Convert to fraction form
    787,980/1,181,970 = 197,004/x
  3. Step 3: Cross multiply
    787,980x = 1,181,970 × 197,004
  4. Step 4: Simplify right side
    787,980x = 232,852,817,880
  5. Step 5: Solve for x
    x = 232,852,817,880/787,980
  6. Step 6: Final answer
    x = 295,506

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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.