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Finding the Fourth Proportional to 306,075.20, 459,112.80 and 231,425.60

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Solution

The fourth proportional to 306,075.20, 459,112.80 and 231,425.60 is: 347,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,075.20 : 459,112.80 = 231,425.60 : x
  2. Step 2: Convert to fraction form
    306,075.20/459,112.80 = 231,425.60/x
  3. Step 3: Cross multiply
    306,075.20x = 459,112.80 × 231,425.60
  4. Step 4: Simplify right side
    306,075.20x = 106,250,455,207.68
  5. Step 5: Solve for x
    x = 106,250,455,207.68/306,075.20
  6. Step 6: Final answer
    x = 347,138.40

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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.