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Finding the Fourth Proportional to 357,887.85, 493,894.74 and 194,555.40

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Solution

The fourth proportional to 357,887.85, 493,894.74 and 194,555.40 is: 268,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,887.85 : 493,894.74 = 194,555.40 : x
  2. Step 2: Convert to fraction form
    357,887.85/493,894.74 = 194,555.40/x
  3. Step 3: Cross multiply
    357,887.85x = 493,894.74 × 194,555.40
  4. Step 4: Simplify right side
    357,887.85x = 96,089,888,698.60
  5. Step 5: Solve for x
    x = 96,089,888,698.60/357,887.85
  6. Step 6: Final answer
    x = 268,491.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.