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Finding the Fourth Proportional to 280,476.77, 420,465.07 and 102,942.59

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Solution

The fourth proportional to 280,476.77, 420,465.07 and 102,942.59 is: 154,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,476.77 : 420,465.07 = 102,942.59 : x
  2. Step 2: Convert to fraction form
    280,476.77/420,465.07 = 102,942.59/x
  3. Step 3: Cross multiply
    280,476.77x = 420,465.07 × 102,942.59
  4. Step 4: Simplify right side
    280,476.77x = 43,283,762,795.62
  5. Step 5: Solve for x
    x = 43,283,762,795.62/280,476.77
  6. Step 6: Final answer
    x = 154,322.10

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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.