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Finding the Fourth Proportional to 419,853.78, 579,070.50 and 290,840.94

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Solution

The fourth proportional to 419,853.78, 579,070.50 and 290,840.94 is: 401,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,853.78 : 579,070.50 = 290,840.94 : x
  2. Step 2: Convert to fraction form
    419,853.78/579,070.50 = 290,840.94/x
  3. Step 3: Cross multiply
    419,853.78x = 579,070.50 × 290,840.94
  4. Step 4: Simplify right side
    419,853.78x = 168,417,408,546.27
  5. Step 5: Solve for x
    x = 168,417,408,546.27/419,853.78
  6. Step 6: Final answer
    x = 401,133.48

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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.