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Finding the Fourth Proportional to 290,166.32, 435,269.48 and 121,516.84

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Solution

The fourth proportional to 290,166.32, 435,269.48 and 121,516.84 is: 182,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,166.32 : 435,269.48 = 121,516.84 : x
  2. Step 2: Convert to fraction form
    290,166.32/435,269.48 = 121,516.84/x
  3. Step 3: Cross multiply
    290,166.32x = 435,269.48 × 121,516.84
  4. Step 4: Simplify right side
    290,166.32x = 52,892,571,758.04
  5. Step 5: Solve for x
    x = 52,892,571,758.04/290,166.32
  6. Step 6: Final answer
    x = 182,283.64

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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.