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Finding the Fourth Proportional to 282,607.60, 423,911.40 and 280,639.30

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Solution

The fourth proportional to 282,607.60, 423,911.40 and 280,639.30 is: 420,958.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,607.60 : 423,911.40 = 280,639.30 : x
  2. Step 2: Convert to fraction form
    282,607.60/423,911.40 = 280,639.30/x
  3. Step 3: Cross multiply
    282,607.60x = 423,911.40 × 280,639.30
  4. Step 4: Simplify right side
    282,607.60x = 118,966,198,558.02
  5. Step 5: Solve for x
    x = 118,966,198,558.02/282,607.60
  6. Step 6: Final answer
    x = 420,958.95

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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.