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Finding the Fourth Proportional to 447,111, 670,668.22 and 424,687

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Solution

The fourth proportional to 447,111, 670,668.22 and 424,687 is: 637,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,111 : 670,668.22 = 424,687 : x
  2. Step 2: Convert to fraction form
    447,111/670,668.22 = 424,687/x
  3. Step 3: Cross multiply
    447,111x = 670,668.22 × 424,687
  4. Step 4: Simplify right side
    447,111x = 284,824,074,347.14
  5. Step 5: Solve for x
    x = 284,824,074,347.14/447,111
  6. Step 6: Final answer
    x = 637,032.13

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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.