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Finding the Fourth Proportional to 278,141.08, 383,835 and 150,817

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Solution

The fourth proportional to 278,141.08, 383,835 and 150,817 is: 208,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,141.08 : 383,835 = 150,817 : x
  2. Step 2: Convert to fraction form
    278,141.08/383,835 = 150,817/x
  3. Step 3: Cross multiply
    278,141.08x = 383,835 × 150,817
  4. Step 4: Simplify right side
    278,141.08x = 57,888,843,195
  5. Step 5: Solve for x
    x = 57,888,843,195/278,141.08
  6. Step 6: Final answer
    x = 208,127.63

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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.