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Finding the Fourth Proportional to 278,922.78, 384,915.78 and 151,598.34

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Solution

The fourth proportional to 278,922.78, 384,915.78 and 151,598.34 is: 209,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,922.78 : 384,915.78 = 151,598.34 : x
  2. Step 2: Convert to fraction form
    278,922.78/384,915.78 = 151,598.34/x
  3. Step 3: Cross multiply
    278,922.78x = 384,915.78 × 151,598.34
  4. Step 4: Simplify right side
    278,922.78x = 58,352,593,287.81
  5. Step 5: Solve for x
    x = 58,352,593,287.81/278,922.78
  6. Step 6: Final answer
    x = 209,206.98

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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.