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Finding the Fourth Proportional to 290,322.42, 435,314.14 and 112,621.80

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Solution

The fourth proportional to 290,322.42, 435,314.14 and 112,621.80 is: 168,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,322.42 : 435,314.14 = 112,621.80 : x
  2. Step 2: Convert to fraction form
    290,322.42/435,314.14 = 112,621.80/x
  3. Step 3: Cross multiply
    290,322.42x = 435,314.14 × 112,621.80
  4. Step 4: Simplify right side
    290,322.42x = 49,025,862,012.25
  5. Step 5: Solve for x
    x = 49,025,862,012.25/290,322.42
  6. Step 6: Final answer
    x = 168,866.95

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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.