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Finding the Fourth Proportional to 380,421.92, 570,631.52 and 114,181.28

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Solution

The fourth proportional to 380,421.92, 570,631.52 and 114,181.28 is: 171,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,421.92 : 570,631.52 = 114,181.28 : x
  2. Step 2: Convert to fraction form
    380,421.92/570,631.52 = 114,181.28/x
  3. Step 3: Cross multiply
    380,421.92x = 570,631.52 × 114,181.28
  4. Step 4: Simplify right side
    380,421.92x = 65,155,437,361.95
  5. Step 5: Solve for x
    x = 65,155,437,361.95/380,421.92
  6. Step 6: Final answer
    x = 171,271.51

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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.