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Finding the Fourth Proportional to 321,985.60, 482,978.40 and 202,235.20

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Solution

The fourth proportional to 321,985.60, 482,978.40 and 202,235.20 is: 303,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,985.60 : 482,978.40 = 202,235.20 : x
  2. Step 2: Convert to fraction form
    321,985.60/482,978.40 = 202,235.20/x
  3. Step 3: Cross multiply
    321,985.60x = 482,978.40 × 202,235.20
  4. Step 4: Simplify right side
    321,985.60x = 97,675,233,319.68
  5. Step 5: Solve for x
    x = 97,675,233,319.68/321,985.60
  6. Step 6: Final answer
    x = 303,352.80

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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.