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Finding the Fourth Proportional to 389,905.60, 584,858.40 and 364,244.80

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Solution

The fourth proportional to 389,905.60, 584,858.40 and 364,244.80 is: 546,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,905.60 : 584,858.40 = 364,244.80 : x
  2. Step 2: Convert to fraction form
    389,905.60/584,858.40 = 364,244.80/x
  3. Step 3: Cross multiply
    389,905.60x = 584,858.40 × 364,244.80
  4. Step 4: Simplify right side
    389,905.60x = 213,031,630,936.32
  5. Step 5: Solve for x
    x = 213,031,630,936.32/389,905.60
  6. Step 6: Final answer
    x = 546,367.20

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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.