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Finding the Fourth Proportional to 256,063.73, 383,878.69 and 106,210.49

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Solution

The fourth proportional to 256,063.73, 383,878.69 and 106,210.49 is: 159,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,063.73 : 383,878.69 = 106,210.49 : x
  2. Step 2: Convert to fraction form
    256,063.73/383,878.69 = 106,210.49/x
  3. Step 3: Cross multiply
    256,063.73x = 383,878.69 × 106,210.49
  4. Step 4: Simplify right side
    256,063.73x = 40,771,941,580.54
  5. Step 5: Solve for x
    x = 40,771,941,580.54/256,063.73
  6. Step 6: Final answer
    x = 159,225.76

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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.