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Finding the Fourth Proportional to 386,465.80, 579,698.70 and 320,110.60

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Solution

The fourth proportional to 386,465.80, 579,698.70 and 320,110.60 is: 480,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,465.80 : 579,698.70 = 320,110.60 : x
  2. Step 2: Convert to fraction form
    386,465.80/579,698.70 = 320,110.60/x
  3. Step 3: Cross multiply
    386,465.80x = 579,698.70 × 320,110.60
  4. Step 4: Simplify right side
    386,465.80x = 185,567,698,676.22
  5. Step 5: Solve for x
    x = 185,567,698,676.22/386,465.80
  6. Step 6: Final answer
    x = 480,165.90

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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.