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Finding the Fourth Proportional to 419,492.22, 578,879.34 and 238,180.35

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Solution

The fourth proportional to 419,492.22, 578,879.34 and 238,180.35 is: 328,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,492.22 : 578,879.34 = 238,180.35 : x
  2. Step 2: Convert to fraction form
    419,492.22/578,879.34 = 238,180.35/x
  3. Step 3: Cross multiply
    419,492.22x = 578,879.34 × 238,180.35
  4. Step 4: Simplify right side
    419,492.22x = 137,877,683,808.97
  5. Step 5: Solve for x
    x = 137,877,683,808.97/419,492.22
  6. Step 6: Final answer
    x = 328,677.57

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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.