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Finding the Fourth Proportional to 595,389, 821,649.78 and 327,117

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Solution

The fourth proportional to 595,389, 821,649.78 and 327,117 is: 451,428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,389 : 821,649.78 = 327,117 : x
  2. Step 2: Convert to fraction form
    595,389/821,649.78 = 327,117/x
  3. Step 3: Cross multiply
    595,389x = 821,649.78 × 327,117
  4. Step 4: Simplify right side
    595,389x = 268,775,611,084.26
  5. Step 5: Solve for x
    x = 268,775,611,084.26/595,389
  6. Step 6: Final answer
    x = 451,428.58

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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.