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Finding the Fourth Proportional to 278,071, 383,735.70 and 150,743.32

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Solution

The fourth proportional to 278,071, 383,735.70 and 150,743.32 is: 208,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,071 : 383,735.70 = 150,743.32 : x
  2. Step 2: Convert to fraction form
    278,071/383,735.70 = 150,743.32/x
  3. Step 3: Cross multiply
    278,071x = 383,735.70 × 150,743.32
  4. Step 4: Simplify right side
    278,071x = 57,845,593,420.52
  5. Step 5: Solve for x
    x = 57,845,593,420.52/278,071
  6. Step 6: Final answer
    x = 208,024.55

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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.