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Finding the Fourth Proportional to 408,063.20, 612,094.80 and 380,069.60

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Solution

The fourth proportional to 408,063.20, 612,094.80 and 380,069.60 is: 570,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,063.20 : 612,094.80 = 380,069.60 : x
  2. Step 2: Convert to fraction form
    408,063.20/612,094.80 = 380,069.60/x
  3. Step 3: Cross multiply
    408,063.20x = 612,094.80 × 380,069.60
  4. Step 4: Simplify right side
    408,063.20x = 232,638,625,798.08
  5. Step 5: Solve for x
    x = 232,638,625,798.08/408,063.20
  6. Step 6: Final answer
    x = 570,104.40

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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.