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Finding the Fourth Proportional to 313,781.34, 433,021.64 and 170,541.42

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Solution

The fourth proportional to 313,781.34, 433,021.64 and 170,541.42 is: 235,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,781.34 : 433,021.64 = 170,541.42 : x
  2. Step 2: Convert to fraction form
    313,781.34/433,021.64 = 170,541.42/x
  3. Step 3: Cross multiply
    313,781.34x = 433,021.64 × 170,541.42
  4. Step 4: Simplify right side
    313,781.34x = 73,848,124,523.62
  5. Step 5: Solve for x
    x = 73,848,124,523.62/313,781.34
  6. Step 6: Final answer
    x = 235,349.00

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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.