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Finding the Fourth Proportional to 286,722.14, 430,249.06 and 118,211.06

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Solution

The fourth proportional to 286,722.14, 430,249.06 and 118,211.06 is: 177,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,722.14 : 430,249.06 = 118,211.06 : x
  2. Step 2: Convert to fraction form
    286,722.14/430,249.06 = 118,211.06/x
  3. Step 3: Cross multiply
    286,722.14x = 430,249.06 × 118,211.06
  4. Step 4: Simplify right side
    286,722.14x = 50,860,197,446.60
  5. Step 5: Solve for x
    x = 50,860,197,446.60/286,722.14
  6. Step 6: Final answer
    x = 177,384.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.