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Finding the Fourth Proportional to 360,911, 498,005.05 and 199,765.66

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Solution

The fourth proportional to 360,911, 498,005.05 and 199,765.66 is: 275,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,911 : 498,005.05 = 199,765.66 : x
  2. Step 2: Convert to fraction form
    360,911/498,005.05 = 199,765.66/x
  3. Step 3: Cross multiply
    360,911x = 498,005.05 × 199,765.66
  4. Step 4: Simplify right side
    360,911x = 99,484,307,496.58
  5. Step 5: Solve for x
    x = 99,484,307,496.58/360,911
  6. Step 6: Final answer
    x = 275,647.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.