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Finding the Fourth Proportional to 380,552.64, 570,783.52 and 100,091.76

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Solution

The fourth proportional to 380,552.64, 570,783.52 and 100,091.76 is: 150,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,552.64 : 570,783.52 = 100,091.76 : x
  2. Step 2: Convert to fraction form
    380,552.64/570,783.52 = 100,091.76/x
  3. Step 3: Cross multiply
    380,552.64x = 570,783.52 × 100,091.76
  4. Step 4: Simplify right side
    380,552.64x = 57,130,727,095.80
  5. Step 5: Solve for x
    x = 57,130,727,095.80/380,552.64
  6. Step 6: Final answer
    x = 150,125.69

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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.