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Finding the Fourth Proportional to 290,225.60, 400,483.68 and 162,872

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Solution

The fourth proportional to 290,225.60, 400,483.68 and 162,872 is: 224,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,225.60 : 400,483.68 = 162,872 : x
  2. Step 2: Convert to fraction form
    290,225.60/400,483.68 = 162,872/x
  3. Step 3: Cross multiply
    290,225.60x = 400,483.68 × 162,872
  4. Step 4: Simplify right side
    290,225.60x = 65,227,577,928.96
  5. Step 5: Solve for x
    x = 65,227,577,928.96/290,225.60
  6. Step 6: Final answer
    x = 224,747.84

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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.