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Finding the Fourth Proportional to 374,625.80, 561,938.70 and 214,537.40

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Solution

The fourth proportional to 374,625.80, 561,938.70 and 214,537.40 is: 321,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,625.80 : 561,938.70 = 214,537.40 : x
  2. Step 2: Convert to fraction form
    374,625.80/561,938.70 = 214,537.40/x
  3. Step 3: Cross multiply
    374,625.80x = 561,938.70 × 214,537.40
  4. Step 4: Simplify right side
    374,625.80x = 120,556,867,657.38
  5. Step 5: Solve for x
    x = 120,556,867,657.38/374,625.80
  6. Step 6: Final answer
    x = 321,806.10

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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.