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Finding the Fourth Proportional to 278,101.92, 383,779.44 and 150,777.12

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Solution

The fourth proportional to 278,101.92, 383,779.44 and 150,777.12 is: 208,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,101.92 : 383,779.44 = 150,777.12 : x
  2. Step 2: Convert to fraction form
    278,101.92/383,779.44 = 150,777.12/x
  3. Step 3: Cross multiply
    278,101.92x = 383,779.44 × 150,777.12
  4. Step 4: Simplify right side
    278,101.92x = 57,865,158,678.41
  5. Step 5: Solve for x
    x = 57,865,158,678.41/278,101.92
  6. Step 6: Final answer
    x = 208,071.77

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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.