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Finding the Fourth Proportional to 290,326.32, 400,640.00 and 163,007.28

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Solution

The fourth proportional to 290,326.32, 400,640.00 and 163,007.28 is: 224,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,326.32 : 400,640.00 = 163,007.28 : x
  2. Step 2: Convert to fraction form
    290,326.32/400,640.00 = 163,007.28/x
  3. Step 3: Cross multiply
    290,326.32x = 400,640.00 × 163,007.28
  4. Step 4: Simplify right side
    290,326.32x = 65,307,235,844.16
  5. Step 5: Solve for x
    x = 65,307,235,844.16/290,326.32
  6. Step 6: Final answer
    x = 224,944.25

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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.