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Finding the Fourth Proportional to 296,379, 409,003.02 and 162,243

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Solution

The fourth proportional to 296,379, 409,003.02 and 162,243 is: 223,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,379 : 409,003.02 = 162,243 : x
  2. Step 2: Convert to fraction form
    296,379/409,003.02 = 162,243/x
  3. Step 3: Cross multiply
    296,379x = 409,003.02 × 162,243
  4. Step 4: Simplify right side
    296,379x = 66,357,876,973.86
  5. Step 5: Solve for x
    x = 66,357,876,973.86/296,379
  6. Step 6: Final answer
    x = 223,895.34

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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.