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Finding the Fourth Proportional to 282,615.60, 423,923.40 and 280,647.30

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Solution

The fourth proportional to 282,615.60, 423,923.40 and 280,647.30 is: 420,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,615.60 : 423,923.40 = 280,647.30 : x
  2. Step 2: Convert to fraction form
    282,615.60/423,923.40 = 280,647.30/x
  3. Step 3: Cross multiply
    282,615.60x = 423,923.40 × 280,647.30
  4. Step 4: Simplify right side
    282,615.60x = 118,972,957,616.82
  5. Step 5: Solve for x
    x = 118,972,957,616.82/282,615.60
  6. Step 6: Final answer
    x = 420,970.95

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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.