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Finding the Fourth Proportional to 631,863.40, 946,412.70 and 382,109.80

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Solution

The fourth proportional to 631,863.40, 946,412.70 and 382,109.80 is: 572,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,863.40 : 946,412.70 = 382,109.80 : x
  2. Step 2: Convert to fraction form
    631,863.40/946,412.70 = 382,109.80/x
  3. Step 3: Cross multiply
    631,863.40x = 946,412.70 × 382,109.80
  4. Step 4: Simplify right side
    631,863.40x = 361,633,567,514.46
  5. Step 5: Solve for x
    x = 361,633,567,514.46/631,863.40
  6. Step 6: Final answer
    x = 572,328.71

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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.