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Finding the Fourth Proportional to 278,025.40, 383,675.70 and 150,700.42

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Solution

The fourth proportional to 278,025.40, 383,675.70 and 150,700.42 is: 207,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,025.40 : 383,675.70 = 150,700.42 : x
  2. Step 2: Convert to fraction form
    278,025.40/383,675.70 = 150,700.42/x
  3. Step 3: Cross multiply
    278,025.40x = 383,675.70 × 150,700.42
  4. Step 4: Simplify right side
    278,025.40x = 57,820,089,133.79
  5. Step 5: Solve for x
    x = 57,820,089,133.79/278,025.40
  6. Step 6: Final answer
    x = 207,966.93

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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.