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Finding the Fourth Proportional to 255,440.92, 383,220.96 and 77,947.60

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Solution

The fourth proportional to 255,440.92, 383,220.96 and 77,947.60 is: 116,939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,440.92 : 383,220.96 = 77,947.60 : x
  2. Step 2: Convert to fraction form
    255,440.92/383,220.96 = 77,947.60/x
  3. Step 3: Cross multiply
    255,440.92x = 383,220.96 × 77,947.60
  4. Step 4: Simplify right side
    255,440.92x = 29,871,154,101.70
  5. Step 5: Solve for x
    x = 29,871,154,101.70/255,440.92
  6. Step 6: Final answer
    x = 116,939.58

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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.