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Finding the Fourth Proportional to 208,929.60, 312,933.60 and 181,281.60

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Solution

The fourth proportional to 208,929.60, 312,933.60 and 181,281.60 is: 271,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,929.60 : 312,933.60 = 181,281.60 : x
  2. Step 2: Convert to fraction form
    208,929.60/312,933.60 = 181,281.60/x
  3. Step 3: Cross multiply
    208,929.60x = 312,933.60 × 181,281.60
  4. Step 4: Simplify right side
    208,929.60x = 56,729,103,701.76
  5. Step 5: Solve for x
    x = 56,729,103,701.76/208,929.60
  6. Step 6: Final answer
    x = 271,522.58

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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.