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Finding the Fourth Proportional to 290,606.40, 401,048.64 and 163,281.60

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Solution

The fourth proportional to 290,606.40, 401,048.64 and 163,281.60 is: 225,335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,606.40 : 401,048.64 = 163,281.60 : x
  2. Step 2: Convert to fraction form
    290,606.40/401,048.64 = 163,281.60/x
  3. Step 3: Cross multiply
    290,606.40x = 401,048.64 × 163,281.60
  4. Step 4: Simplify right side
    290,606.40x = 65,483,863,617.02
  5. Step 5: Solve for x
    x = 65,483,863,617.02/290,606.40
  6. Step 6: Final answer
    x = 225,335.24

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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.