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Finding the Fourth Proportional to 289,100.44, 433,465.62 and 139,041.82

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Solution

The fourth proportional to 289,100.44, 433,465.62 and 139,041.82 is: 208,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,100.44 : 433,465.62 = 139,041.82 : x
  2. Step 2: Convert to fraction form
    289,100.44/433,465.62 = 139,041.82/x
  3. Step 3: Cross multiply
    289,100.44x = 433,465.62 × 139,041.82
  4. Step 4: Simplify right side
    289,100.44x = 60,269,848,712.23
  5. Step 5: Solve for x
    x = 60,269,848,712.23/289,100.44
  6. Step 6: Final answer
    x = 208,473.74

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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.