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Finding the Fourth Proportional to 380,314.12, 570,437.16 and 114,134.08

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Solution

The fourth proportional to 380,314.12, 570,437.16 and 114,134.08 is: 171,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,314.12 : 570,437.16 = 114,134.08 : x
  2. Step 2: Convert to fraction form
    380,314.12/570,437.16 = 114,134.08/x
  3. Step 3: Cross multiply
    380,314.12x = 570,437.16 × 114,134.08
  4. Step 4: Simplify right side
    380,314.12x = 65,106,320,454.41
  5. Step 5: Solve for x
    x = 65,106,320,454.41/380,314.12
  6. Step 6: Final answer
    x = 171,190.91

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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.