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Finding the Fourth Proportional to 419,925.12, 579,498.48 and 269,109.60

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Solution

The fourth proportional to 419,925.12, 579,498.48 and 269,109.60 is: 371,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,925.12 : 579,498.48 = 269,109.60 : x
  2. Step 2: Convert to fraction form
    419,925.12/579,498.48 = 269,109.60/x
  3. Step 3: Cross multiply
    419,925.12x = 579,498.48 × 269,109.60
  4. Step 4: Simplify right side
    419,925.12x = 155,948,604,153.41
  5. Step 5: Solve for x
    x = 155,948,604,153.41/419,925.12
  6. Step 6: Final answer
    x = 371,372.41

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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.