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Finding the Fourth Proportional to 290,322.42, 435,371.66 and 112,806.06

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Solution

The fourth proportional to 290,322.42, 435,371.66 and 112,806.06 is: 169,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,322.42 : 435,371.66 = 112,806.06 : x
  2. Step 2: Convert to fraction form
    290,322.42/435,371.66 = 112,806.06/x
  3. Step 3: Cross multiply
    290,322.42x = 435,371.66 × 112,806.06
  4. Step 4: Simplify right side
    290,322.42x = 49,112,561,600.26
  5. Step 5: Solve for x
    x = 49,112,561,600.26/290,322.42
  6. Step 6: Final answer
    x = 169,165.58

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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.