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Finding the Fourth Proportional to 278,032.34, 383,674.34 and 150,705.20

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Solution

The fourth proportional to 278,032.34, 383,674.34 and 150,705.20 is: 207,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,032.34 : 383,674.34 = 150,705.20 : x
  2. Step 2: Convert to fraction form
    278,032.34/383,674.34 = 150,705.20/x
  3. Step 3: Cross multiply
    278,032.34x = 383,674.34 × 150,705.20
  4. Step 4: Simplify right side
    278,032.34x = 57,821,719,480.52
  5. Step 5: Solve for x
    x = 57,821,719,480.52/278,032.34
  6. Step 6: Final answer
    x = 207,967.60

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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.