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Finding the Fourth Proportional to 280,953.47, 421,430.61 and 114,741.47

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Solution

The fourth proportional to 280,953.47, 421,430.61 and 114,741.47 is: 172,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,953.47 : 421,430.61 = 114,741.47 : x
  2. Step 2: Convert to fraction form
    280,953.47/421,430.61 = 114,741.47/x
  3. Step 3: Cross multiply
    280,953.47x = 421,430.61 × 114,741.47
  4. Step 4: Simplify right side
    280,953.47x = 48,355,568,747.97
  5. Step 5: Solve for x
    x = 48,355,568,747.97/280,953.47
  6. Step 6: Final answer
    x = 172,112.37

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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.