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Finding the Fourth Proportional to 360,135.54, 496,973.64 and 198,987.12

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Solution

The fourth proportional to 360,135.54, 496,973.64 and 198,987.12 is: 274,594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,135.54 : 496,973.64 = 198,987.12 : x
  2. Step 2: Convert to fraction form
    360,135.54/496,973.64 = 198,987.12/x
  3. Step 3: Cross multiply
    360,135.54x = 496,973.64 × 198,987.12
  4. Step 4: Simplify right side
    360,135.54x = 98,891,353,339.52
  5. Step 5: Solve for x
    x = 98,891,353,339.52/360,135.54
  6. Step 6: Final answer
    x = 274,594.82

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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.