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Finding the Fourth Proportional to 278,414.40, 384,212.10 and 151,089.98

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Solution

The fourth proportional to 278,414.40, 384,212.10 and 151,089.98 is: 208,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,414.40 : 384,212.10 = 151,089.98 : x
  2. Step 2: Convert to fraction form
    278,414.40/384,212.10 = 151,089.98/x
  3. Step 3: Cross multiply
    278,414.40x = 384,212.10 × 151,089.98
  4. Step 4: Simplify right side
    278,414.40x = 58,050,598,504.76
  5. Step 5: Solve for x
    x = 58,050,598,504.76/278,414.40
  6. Step 6: Final answer
    x = 208,504.30

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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.