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Finding the Fourth Proportional to 289,056.56, 398,633 and 248,206.78

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Solution

The fourth proportional to 289,056.56, 398,633 and 248,206.78 is: 342,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,056.56 : 398,633 = 248,206.78 : x
  2. Step 2: Convert to fraction form
    289,056.56/398,633 = 248,206.78/x
  3. Step 3: Cross multiply
    289,056.56x = 398,633 × 248,206.78
  4. Step 4: Simplify right side
    289,056.56x = 98,943,413,331.74
  5. Step 5: Solve for x
    x = 98,943,413,331.74/289,056.56
  6. Step 6: Final answer
    x = 342,297.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.