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Finding the Fourth Proportional to 280,953.38, 421,430.48 and 114,741.38

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Solution

The fourth proportional to 280,953.38, 421,430.48 and 114,741.38 is: 172,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,953.38 : 421,430.48 = 114,741.38 : x
  2. Step 2: Convert to fraction form
    280,953.38/421,430.48 = 114,741.38/x
  3. Step 3: Cross multiply
    280,953.38x = 421,430.48 × 114,741.38
  4. Step 4: Simplify right side
    280,953.38x = 48,355,512,168.40
  5. Step 5: Solve for x
    x = 48,355,512,168.40/280,953.38
  6. Step 6: Final answer
    x = 172,112.23

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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.