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Finding the Fourth Proportional to 278,311.63, 384,070.19 and 150,987.19

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Solution

The fourth proportional to 278,311.63, 384,070.19 and 150,987.19 is: 208,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,311.63 : 384,070.19 = 150,987.19 : x
  2. Step 2: Convert to fraction form
    278,311.63/384,070.19 = 150,987.19/x
  3. Step 3: Cross multiply
    278,311.63x = 384,070.19 × 150,987.19
  4. Step 4: Simplify right side
    278,311.63x = 57,989,677,035.75
  5. Step 5: Solve for x
    x = 57,989,677,035.75/278,311.63
  6. Step 6: Final answer
    x = 208,362.39

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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.