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Finding the Fourth Proportional to 420,249, 579,943.62 and 269,346

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Solution

The fourth proportional to 420,249, 579,943.62 and 269,346 is: 371,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,249 : 579,943.62 = 269,346 : x
  2. Step 2: Convert to fraction form
    420,249/579,943.62 = 269,346/x
  3. Step 3: Cross multiply
    420,249x = 579,943.62 × 269,346
  4. Step 4: Simplify right side
    420,249x = 156,205,494,272.52
  5. Step 5: Solve for x
    x = 156,205,494,272.52/420,249
  6. Step 6: Final answer
    x = 371,697.48

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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.