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Finding the Fourth Proportional to 294,975.60, 442,693.80 and 137,223.60

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Solution

The fourth proportional to 294,975.60, 442,693.80 and 137,223.60 is: 205,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,975.60 : 442,693.80 = 137,223.60 : x
  2. Step 2: Convert to fraction form
    294,975.60/442,693.80 = 137,223.60/x
  3. Step 3: Cross multiply
    294,975.60x = 442,693.80 × 137,223.60
  4. Step 4: Simplify right side
    294,975.60x = 60,748,036,933.68
  5. Step 5: Solve for x
    x = 60,748,036,933.68/294,975.60
  6. Step 6: Final answer
    x = 205,942.58

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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.