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Finding the Fourth Proportional to 280,477.40, 420,466.01 and 102,943.22

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Solution

The fourth proportional to 280,477.40, 420,466.01 and 102,943.22 is: 154,323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,477.40 : 420,466.01 = 102,943.22 : x
  2. Step 2: Convert to fraction form
    280,477.40/420,466.01 = 102,943.22/x
  3. Step 3: Cross multiply
    280,477.40x = 420,466.01 × 102,943.22
  4. Step 4: Simplify right side
    280,477.40x = 43,284,122,352.91
  5. Step 5: Solve for x
    x = 43,284,122,352.91/280,477.40
  6. Step 6: Final answer
    x = 154,323.03

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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.