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Finding the Fourth Proportional to 380,152.56, 570,062.76 and 180,530.16

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Solution

The fourth proportional to 380,152.56, 570,062.76 and 180,530.16 is: 270,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,152.56 : 570,062.76 = 180,530.16 : x
  2. Step 2: Convert to fraction form
    380,152.56/570,062.76 = 180,530.16/x
  3. Step 3: Cross multiply
    380,152.56x = 570,062.76 × 180,530.16
  4. Step 4: Simplify right side
    380,152.56x = 102,913,521,272.84
  5. Step 5: Solve for x
    x = 102,913,521,272.84/380,152.56
  6. Step 6: Final answer
    x = 270,716.37

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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.