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Finding the Fourth Proportional to 380,085.12, 570,084 and 99,624.48

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Solution

The fourth proportional to 380,085.12, 570,084 and 99,624.48 is: 149,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,085.12 : 570,084 = 99,624.48 : x
  2. Step 2: Convert to fraction form
    380,085.12/570,084 = 99,624.48/x
  3. Step 3: Cross multiply
    380,085.12x = 570,084 × 99,624.48
  4. Step 4: Simplify right side
    380,085.12x = 56,794,322,056.32
  5. Step 5: Solve for x
    x = 56,794,322,056.32/380,085.12
  6. Step 6: Final answer
    x = 149,425.27

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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.