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Finding the Fourth Proportional to 299,197.48, 412,932.57 and 190,312.42

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Solution

The fourth proportional to 299,197.48, 412,932.57 and 190,312.42 is: 262,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,197.48 : 412,932.57 = 190,312.42 : x
  2. Step 2: Convert to fraction form
    299,197.48/412,932.57 = 190,312.42/x
  3. Step 3: Cross multiply
    299,197.48x = 412,932.57 × 190,312.42
  4. Step 4: Simplify right side
    299,197.48x = 78,586,196,693.52
  5. Step 5: Solve for x
    x = 78,586,196,693.52/299,197.48
  6. Step 6: Final answer
    x = 262,656.61

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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.