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Finding the Fourth Proportional to 280,647.24, 420,974.46 and 93,658.74

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Solution

The fourth proportional to 280,647.24, 420,974.46 and 93,658.74 is: 140,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,647.24 : 420,974.46 = 93,658.74 : x
  2. Step 2: Convert to fraction form
    280,647.24/420,974.46 = 93,658.74/x
  3. Step 3: Cross multiply
    280,647.24x = 420,974.46 × 93,658.74
  4. Step 4: Simplify right side
    280,647.24x = 39,427,937,495.78
  5. Step 5: Solve for x
    x = 39,427,937,495.78/280,647.24
  6. Step 6: Final answer
    x = 140,489.31

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1.5x scale

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.