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Finding the Fourth Proportional to 413,512, 570,863.29 and 278,257.12

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Solution

The fourth proportional to 413,512, 570,863.29 and 278,257.12 is: 384,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,512 : 570,863.29 = 278,257.12 : x
  2. Step 2: Convert to fraction form
    413,512/570,863.29 = 278,257.12/x
  3. Step 3: Cross multiply
    413,512x = 570,863.29 × 278,257.12
  4. Step 4: Simplify right side
    413,512x = 158,846,774,989.13
  5. Step 5: Solve for x
    x = 158,846,774,989.13/413,512
  6. Step 6: Final answer
    x = 384,140.67

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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.