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Finding the Fourth Proportional to 667,088.28, 920,582.02 and 361,164.60

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Solution

The fourth proportional to 667,088.28, 920,582.02 and 361,164.60 is: 498,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,088.28 : 920,582.02 = 361,164.60 : x
  2. Step 2: Convert to fraction form
    667,088.28/920,582.02 = 361,164.60/x
  3. Step 3: Cross multiply
    667,088.28x = 920,582.02 × 361,164.60
  4. Step 4: Simplify right side
    667,088.28x = 332,481,637,020.49
  5. Step 5: Solve for x
    x = 332,481,637,020.49/667,088.28
  6. Step 6: Final answer
    x = 498,407.25

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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.