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Finding the Fourth Proportional to 464,400, 641,008.80 and 303,279.84

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Solution

The fourth proportional to 464,400, 641,008.80 and 303,279.84 is: 418,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,400 : 641,008.80 = 303,279.84 : x
  2. Step 2: Convert to fraction form
    464,400/641,008.80 = 303,279.84/x
  3. Step 3: Cross multiply
    464,400x = 641,008.80 × 303,279.84
  4. Step 4: Simplify right side
    464,400x = 194,405,046,302.59
  5. Step 5: Solve for x
    x = 194,405,046,302.59/464,400
  6. Step 6: Final answer
    x = 418,615.52

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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.