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Finding the Fourth Proportional to 386,464.80, 579,697.20 and 320,109.60

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Solution

The fourth proportional to 386,464.80, 579,697.20 and 320,109.60 is: 480,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,464.80 : 579,697.20 = 320,109.60 : x
  2. Step 2: Convert to fraction form
    386,464.80/579,697.20 = 320,109.60/x
  3. Step 3: Cross multiply
    386,464.80x = 579,697.20 × 320,109.60
  4. Step 4: Simplify right side
    386,464.80x = 185,566,638,813.12
  5. Step 5: Solve for x
    x = 185,566,638,813.12/386,464.80
  6. Step 6: Final answer
    x = 480,164.40

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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.