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Finding the Fourth Proportional to 290,305.60, 400,594.08 and 162,952

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Solution

The fourth proportional to 290,305.60, 400,594.08 and 162,952 is: 224,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,305.60 : 400,594.08 = 162,952 : x
  2. Step 2: Convert to fraction form
    290,305.60/400,594.08 = 162,952/x
  3. Step 3: Cross multiply
    290,305.60x = 400,594.08 × 162,952
  4. Step 4: Simplify right side
    290,305.60x = 65,277,606,524.16
  5. Step 5: Solve for x
    x = 65,277,606,524.16/290,305.60
  6. Step 6: Final answer
    x = 224,858.24

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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.