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Finding the Fourth Proportional to 419,390.18, 578,774.82 and 238,118.97

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Solution

The fourth proportional to 419,390.18, 578,774.82 and 238,118.97 is: 328,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,390.18 : 578,774.82 = 238,118.97 : x
  2. Step 2: Convert to fraction form
    419,390.18/578,774.82 = 238,118.97/x
  3. Step 3: Cross multiply
    419,390.18x = 578,774.82 × 238,118.97
  4. Step 4: Simplify right side
    419,390.18x = 137,817,264,000.34
  5. Step 5: Solve for x
    x = 137,817,264,000.34/419,390.18
  6. Step 6: Final answer
    x = 328,613.48

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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.