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Finding the Fourth Proportional to 290,120.64, 400,373.76 and 162,806.40

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Solution

The fourth proportional to 290,120.64, 400,373.76 and 162,806.40 is: 224,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,120.64 : 400,373.76 = 162,806.40 : x
  2. Step 2: Convert to fraction form
    290,120.64/400,373.76 = 162,806.40/x
  3. Step 3: Cross multiply
    290,120.64x = 400,373.76 × 162,806.40
  4. Step 4: Simplify right side
    290,120.64x = 65,183,410,520.06
  5. Step 5: Solve for x
    x = 65,183,410,520.06/290,120.64
  6. Step 6: Final answer
    x = 224,676.92

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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.