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Finding the Fourth Proportional to 447,115, 670,674.22 and 424,691

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Solution

The fourth proportional to 447,115, 670,674.22 and 424,691 is: 637,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,115 : 670,674.22 = 424,691 : x
  2. Step 2: Convert to fraction form
    447,115/670,674.22 = 424,691/x
  3. Step 3: Cross multiply
    447,115x = 670,674.22 × 424,691
  4. Step 4: Simplify right side
    447,115x = 284,829,305,166.02
  5. Step 5: Solve for x
    x = 284,829,305,166.02/447,115
  6. Step 6: Final answer
    x = 637,038.13

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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.