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Finding the Fourth Proportional to 380,045.60, 570,035.60 and 113,865.84

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Solution

The fourth proportional to 380,045.60, 570,035.60 and 113,865.84 is: 170,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,045.60 : 570,035.60 = 113,865.84 : x
  2. Step 2: Convert to fraction form
    380,045.60/570,035.60 = 113,865.84/x
  3. Step 3: Cross multiply
    380,045.60x = 570,035.60 × 113,865.84
  4. Step 4: Simplify right side
    380,045.60x = 64,907,582,423.90
  5. Step 5: Solve for x
    x = 64,907,582,423.90/380,045.60
  6. Step 6: Final answer
    x = 170,788.93

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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.