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Finding the Fourth Proportional to 389,230.83, 536,661.31 and 320,078.63

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Solution

The fourth proportional to 389,230.83, 536,661.31 and 320,078.63 is: 441,316.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,230.83 : 536,661.31 = 320,078.63 : x
  2. Step 2: Convert to fraction form
    389,230.83/536,661.31 = 320,078.63/x
  3. Step 3: Cross multiply
    389,230.83x = 536,661.31 × 320,078.63
  4. Step 4: Simplify right side
    389,230.83x = 171,773,817,420.26
  5. Step 5: Solve for x
    x = 171,773,817,420.26/389,230.83
  6. Step 6: Final answer
    x = 441,316.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.