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Finding the Fourth Proportional to 409,574.96, 565,144.92 and 228,247.12

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Solution

The fourth proportional to 409,574.96, 565,144.92 and 228,247.12 is: 314,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,574.96 : 565,144.92 = 228,247.12 : x
  2. Step 2: Convert to fraction form
    409,574.96/565,144.92 = 228,247.12/x
  3. Step 3: Cross multiply
    409,574.96x = 565,144.92 × 228,247.12
  4. Step 4: Simplify right side
    409,574.96x = 128,992,700,372.63
  5. Step 5: Solve for x
    x = 128,992,700,372.63/409,574.96
  6. Step 6: Final answer
    x = 314,942.84

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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.