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Finding the Fourth Proportional to 291,717, 402,559.38 and 164,385

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Solution

The fourth proportional to 291,717, 402,559.38 and 164,385 is: 226,845.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,717 : 402,559.38 = 164,385 : x
  2. Step 2: Convert to fraction form
    291,717/402,559.38 = 164,385/x
  3. Step 3: Cross multiply
    291,717x = 402,559.38 × 164,385
  4. Step 4: Simplify right side
    291,717x = 66,174,723,681.30
  5. Step 5: Solve for x
    x = 66,174,723,681.30/291,717
  6. Step 6: Final answer
    x = 226,845.62

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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.