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Finding the Fourth Proportional to 618,046.20, 926,890.74 and 280,899

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Solution

The fourth proportional to 618,046.20, 926,890.74 and 280,899 is: 421,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,046.20 : 926,890.74 = 280,899 : x
  2. Step 2: Convert to fraction form
    618,046.20/926,890.74 = 280,899/x
  3. Step 3: Cross multiply
    618,046.20x = 926,890.74 × 280,899
  4. Step 4: Simplify right side
    618,046.20x = 260,362,681,975.26
  5. Step 5: Solve for x
    x = 260,362,681,975.26/618,046.20
  6. Step 6: Final answer
    x = 421,267.35

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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.