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Finding the Fourth Proportional to 328,402.86, 491,822.36 and 209,706.54

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Solution

The fourth proportional to 328,402.86, 491,822.36 and 209,706.54 is: 314,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,402.86 : 491,822.36 = 209,706.54 : x
  2. Step 2: Convert to fraction form
    328,402.86/491,822.36 = 209,706.54/x
  3. Step 3: Cross multiply
    328,402.86x = 491,822.36 × 209,706.54
  4. Step 4: Simplify right side
    328,402.86x = 103,138,365,410.23
  5. Step 5: Solve for x
    x = 103,138,365,410.23/328,402.86
  6. Step 6: Final answer
    x = 314,060.50

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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.