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Finding the Fourth Proportional to 205,815.68, 308,774.40 and 146,504

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Solution

The fourth proportional to 205,815.68, 308,774.40 and 146,504 is: 219,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,815.68 : 308,774.40 = 146,504 : x
  2. Step 2: Convert to fraction form
    205,815.68/308,774.40 = 146,504/x
  3. Step 3: Cross multiply
    205,815.68x = 308,774.40 × 146,504
  4. Step 4: Simplify right side
    205,815.68x = 45,236,684,697.60
  5. Step 5: Solve for x
    x = 45,236,684,697.60/205,815.68
  6. Step 6: Final answer
    x = 219,792.22

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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.