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Finding the Fourth Proportional to 419,780.09, 579,296.71 and 238,492.32

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Solution

The fourth proportional to 419,780.09, 579,296.71 and 238,492.32 is: 329,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,780.09 : 579,296.71 = 238,492.32 : x
  2. Step 2: Convert to fraction form
    419,780.09/579,296.71 = 238,492.32/x
  3. Step 3: Cross multiply
    419,780.09x = 579,296.71 × 238,492.32
  4. Step 4: Simplify right side
    419,780.09x = 138,157,814,462.02
  5. Step 5: Solve for x
    x = 138,157,814,462.02/419,780.09
  6. Step 6: Final answer
    x = 329,119.51

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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.