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Finding the Fourth Proportional to 787,985, 1,181,977.50 and 197,009

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Solution

The fourth proportional to 787,985, 1,181,977.50 and 197,009 is: 295,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,985 : 1,181,977.50 = 197,009 : x
  2. Step 2: Convert to fraction form
    787,985/1,181,977.50 = 197,009/x
  3. Step 3: Cross multiply
    787,985x = 1,181,977.50 × 197,009
  4. Step 4: Simplify right side
    787,985x = 232,860,205,297.50
  5. Step 5: Solve for x
    x = 232,860,205,297.50/787,985
  6. Step 6: Final answer
    x = 295,513.50

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1.5x scale

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.