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Finding the Fourth Proportional to 298,154.42, 411,849.90 and 293,816.90

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Solution

The fourth proportional to 298,154.42, 411,849.90 and 293,816.90 is: 405,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,154.42 : 411,849.90 = 293,816.90 : x
  2. Step 2: Convert to fraction form
    298,154.42/411,849.90 = 293,816.90/x
  3. Step 3: Cross multiply
    298,154.42x = 411,849.90 × 293,816.90
  4. Step 4: Simplify right side
    298,154.42x = 121,008,460,883.31
  5. Step 5: Solve for x
    x = 121,008,460,883.31/298,154.42
  6. Step 6: Final answer
    x = 405,858.35

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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.