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Finding the Fourth Proportional to 290,336.40, 435,082.59 and 128,033.06

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Solution

The fourth proportional to 290,336.40, 435,082.59 and 128,033.06 is: 191,863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,336.40 : 435,082.59 = 128,033.06 : x
  2. Step 2: Convert to fraction form
    290,336.40/435,082.59 = 128,033.06/x
  3. Step 3: Cross multiply
    290,336.40x = 435,082.59 × 128,033.06
  4. Step 4: Simplify right side
    290,336.40x = 55,704,953,175.01
  5. Step 5: Solve for x
    x = 55,704,953,175.01/290,336.40
  6. Step 6: Final answer
    x = 191,863.48

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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.