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Finding the Fourth Proportional to 456,470.20, 685,123.80 and 231,986.80

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Solution

The fourth proportional to 456,470.20, 685,123.80 and 231,986.80 is: 348,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,470.20 : 685,123.80 = 231,986.80 : x
  2. Step 2: Convert to fraction form
    456,470.20/685,123.80 = 231,986.80/x
  3. Step 3: Cross multiply
    456,470.20x = 685,123.80 × 231,986.80
  4. Step 4: Simplify right side
    456,470.20x = 158,939,677,965.84
  5. Step 5: Solve for x
    x = 158,939,677,965.84/456,470.20
  6. Step 6: Final answer
    x = 348,192.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.