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Finding the Fourth Proportional to 280,477.64, 420,466.70 and 102,943.46

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Solution

The fourth proportional to 280,477.64, 420,466.70 and 102,943.46 is: 154,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,477.64 : 420,466.70 = 102,943.46 : x
  2. Step 2: Convert to fraction form
    280,477.64/420,466.70 = 102,943.46/x
  3. Step 3: Cross multiply
    280,477.64x = 420,466.70 × 102,943.46
  4. Step 4: Simplify right side
    280,477.64x = 43,284,294,295.73
  5. Step 5: Solve for x
    x = 43,284,294,295.73/280,477.64
  6. Step 6: Final answer
    x = 154,323.51

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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.