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Finding the Fourth Proportional to 447,110, 670,666.72 and 424,686

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Solution

The fourth proportional to 447,110, 670,666.72 and 424,686 is: 637,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,110 : 670,666.72 = 424,686 : x
  2. Step 2: Convert to fraction form
    447,110/670,666.72 = 424,686/x
  3. Step 3: Cross multiply
    447,110x = 670,666.72 × 424,686
  4. Step 4: Simplify right side
    447,110x = 284,822,766,649.92
  5. Step 5: Solve for x
    x = 284,822,766,649.92/447,110
  6. Step 6: Final answer
    x = 637,030.63

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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.