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Finding the Fourth Proportional to 290,054.52, 435,102.74 and 121,405.23

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Solution

The fourth proportional to 290,054.52, 435,102.74 and 121,405.23 is: 182,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,054.52 : 435,102.74 = 121,405.23 : x
  2. Step 2: Convert to fraction form
    290,054.52/435,102.74 = 121,405.23/x
  3. Step 3: Cross multiply
    290,054.52x = 435,102.74 × 121,405.23
  4. Step 4: Simplify right side
    290,054.52x = 52,823,748,071.57
  5. Step 5: Solve for x
    x = 52,823,748,071.57/290,054.52
  6. Step 6: Final answer
    x = 182,116.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.