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Finding the Fourth Proportional to 290,962.52, 401,495.64 and 163,635.40

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Solution

The fourth proportional to 290,962.52, 401,495.64 and 163,635.40 is: 225,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,962.52 : 401,495.64 = 163,635.40 : x
  2. Step 2: Convert to fraction form
    290,962.52/401,495.64 = 163,635.40/x
  3. Step 3: Cross multiply
    290,962.52x = 401,495.64 × 163,635.40
  4. Step 4: Simplify right side
    290,962.52x = 65,698,899,649.66
  5. Step 5: Solve for x
    x = 65,698,899,649.66/290,962.52
  6. Step 6: Final answer
    x = 225,798.50

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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.