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Finding the Fourth Proportional to 305,969.40, 459,051.30 and 137,424.60

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Solution

The fourth proportional to 305,969.40, 459,051.30 and 137,424.60 is: 206,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,969.40 : 459,051.30 = 137,424.60 : x
  2. Step 2: Convert to fraction form
    305,969.40/459,051.30 = 137,424.60/x
  3. Step 3: Cross multiply
    305,969.40x = 459,051.30 × 137,424.60
  4. Step 4: Simplify right side
    305,969.40x = 63,084,941,281.98
  5. Step 5: Solve for x
    x = 63,084,941,281.98/305,969.40
  6. Step 6: Final answer
    x = 206,180.56

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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.