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Finding the Fourth Proportional to 357,918, 493,914.24 and 196,771.89

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Solution

The fourth proportional to 357,918, 493,914.24 and 196,771.89 is: 271,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,918 : 493,914.24 = 196,771.89 : x
  2. Step 2: Convert to fraction form
    357,918/493,914.24 = 196,771.89/x
  3. Step 3: Cross multiply
    357,918x = 493,914.24 × 196,771.89
  4. Step 4: Simplify right side
    357,918x = 97,188,438,502.71
  5. Step 5: Solve for x
    x = 97,188,438,502.71/357,918
  6. Step 6: Final answer
    x = 271,538.28

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1.5x scale

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.