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Finding the Fourth Proportional to 328,229.84, 492,397.32 and 138,692.07

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Solution

The fourth proportional to 328,229.84, 492,397.32 and 138,692.07 is: 208,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,229.84 : 492,397.32 = 138,692.07 : x
  2. Step 2: Convert to fraction form
    328,229.84/492,397.32 = 138,692.07/x
  3. Step 3: Cross multiply
    328,229.84x = 492,397.32 × 138,692.07
  4. Step 4: Simplify right side
    328,229.84x = 68,291,603,573.25
  5. Step 5: Solve for x
    x = 68,291,603,573.25/328,229.84
  6. Step 6: Final answer
    x = 208,060.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.