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Finding the Fourth Proportional to 278,154.75, 383,853.60 and 150,830.49

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Solution

The fourth proportional to 278,154.75, 383,853.60 and 150,830.49 is: 208,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,154.75 : 383,853.60 = 150,830.49 : x
  2. Step 2: Convert to fraction form
    278,154.75/383,853.60 = 150,830.49/x
  3. Step 3: Cross multiply
    278,154.75x = 383,853.60 × 150,830.49
  4. Step 4: Simplify right side
    278,154.75x = 57,896,826,576.26
  5. Step 5: Solve for x
    x = 57,896,826,576.26/278,154.75
  6. Step 6: Final answer
    x = 208,146.10

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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.