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Finding the Fourth Proportional to 306,036.40, 459,054.60 and 137,491.60

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Solution

The fourth proportional to 306,036.40, 459,054.60 and 137,491.60 is: 206,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,036.40 : 459,054.60 = 137,491.60 : x
  2. Step 2: Convert to fraction form
    306,036.40/459,054.60 = 137,491.60/x
  3. Step 3: Cross multiply
    306,036.40x = 459,054.60 × 137,491.60
  4. Step 4: Simplify right side
    306,036.40x = 63,116,151,441.36
  5. Step 5: Solve for x
    x = 63,116,151,441.36/306,036.40
  6. Step 6: Final answer
    x = 206,237.40

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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.