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Finding the Fourth Proportional to 290,121.64, 400,375.14 and 162,807.40

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Solution

The fourth proportional to 290,121.64, 400,375.14 and 162,807.40 is: 224,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,121.64 : 400,375.14 = 162,807.40 : x
  2. Step 2: Convert to fraction form
    290,121.64/400,375.14 = 162,807.40/x
  3. Step 3: Cross multiply
    290,121.64x = 400,375.14 × 162,807.40
  4. Step 4: Simplify right side
    290,121.64x = 65,184,035,568.04
  5. Step 5: Solve for x
    x = 65,184,035,568.04/290,121.64
  6. Step 6: Final answer
    x = 224,678.30

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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.