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Finding the Fourth Proportional to 227,152.34, 313,470.68 and 136,509.69

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Solution

The fourth proportional to 227,152.34, 313,470.68 and 136,509.69 is: 188,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,152.34 : 313,470.68 = 136,509.69 : x
  2. Step 2: Convert to fraction form
    227,152.34/313,470.68 = 136,509.69/x
  3. Step 3: Cross multiply
    227,152.34x = 313,470.68 × 136,509.69
  4. Step 4: Simplify right side
    227,152.34x = 42,791,785,350.89
  5. Step 5: Solve for x
    x = 42,791,785,350.89/227,152.34
  6. Step 6: Final answer
    x = 188,383.64

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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.