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Finding the Fourth Proportional to 289,152.39, 433,620.86 and 99,559.74

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Solution

The fourth proportional to 289,152.39, 433,620.86 and 99,559.74 is: 149,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,152.39 : 433,620.86 = 99,559.74 : x
  2. Step 2: Convert to fraction form
    289,152.39/433,620.86 = 99,559.74/x
  3. Step 3: Cross multiply
    289,152.39x = 433,620.86 × 99,559.74
  4. Step 4: Simplify right side
    289,152.39x = 43,171,179,582.38
  5. Step 5: Solve for x
    x = 43,171,179,582.38/289,152.39
  6. Step 6: Final answer
    x = 149,302.52

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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.