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Finding the Fourth Proportional to 328,213.89, 453,019.50 and 213,777.77

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Solution

The fourth proportional to 328,213.89, 453,019.50 and 213,777.77 is: 295,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,213.89 : 453,019.50 = 213,777.77 : x
  2. Step 2: Convert to fraction form
    328,213.89/453,019.50 = 213,777.77/x
  3. Step 3: Cross multiply
    328,213.89x = 453,019.50 × 213,777.77
  4. Step 4: Simplify right side
    328,213.89x = 96,845,496,211.42
  5. Step 5: Solve for x
    x = 96,845,496,211.42/328,213.89
  6. Step 6: Final answer
    x = 295,068.24

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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.