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Finding the Fourth Proportional to 312,161.76, 430,782.72 and 176,224.32

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Solution

The fourth proportional to 312,161.76, 430,782.72 and 176,224.32 is: 243,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,161.76 : 430,782.72 = 176,224.32 : x
  2. Step 2: Convert to fraction form
    312,161.76/430,782.72 = 176,224.32/x
  3. Step 3: Cross multiply
    312,161.76x = 430,782.72 × 176,224.32
  4. Step 4: Simplify right side
    312,161.76x = 75,914,391,899.75
  5. Step 5: Solve for x
    x = 75,914,391,899.75/312,161.76
  6. Step 6: Final answer
    x = 243,189.27

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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.