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Finding the Fourth Proportional to 290,655.52, 401,141.50 and 163,331

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Solution

The fourth proportional to 290,655.52, 401,141.50 and 163,331 is: 225,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,655.52 : 401,141.50 = 163,331 : x
  2. Step 2: Convert to fraction form
    290,655.52/401,141.50 = 163,331/x
  3. Step 3: Cross multiply
    290,655.52x = 401,141.50 × 163,331
  4. Step 4: Simplify right side
    290,655.52x = 65,518,842,336.50
  5. Step 5: Solve for x
    x = 65,518,842,336.50/290,655.52
  6. Step 6: Final answer
    x = 225,417.51

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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.