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Finding the Fourth Proportional to 278,128, 383,816.64 and 150,803.56

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Solution

The fourth proportional to 278,128, 383,816.64 and 150,803.56 is: 208,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,128 : 383,816.64 = 150,803.56 : x
  2. Step 2: Convert to fraction form
    278,128/383,816.64 = 150,803.56/x
  3. Step 3: Cross multiply
    278,128x = 383,816.64 × 150,803.56
  4. Step 4: Simplify right side
    278,128x = 57,880,915,699.24
  5. Step 5: Solve for x
    x = 57,880,915,699.24/278,128
  6. Step 6: Final answer
    x = 208,108.91

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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.