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Finding the Fourth Proportional to 509,442.89, 703,647.77 and 371,403.23

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Solution

The fourth proportional to 509,442.89, 703,647.77 and 371,403.23 is: 512,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,442.89 : 703,647.77 = 371,403.23 : x
  2. Step 2: Convert to fraction form
    509,442.89/703,647.77 = 371,403.23/x
  3. Step 3: Cross multiply
    509,442.89x = 703,647.77 × 371,403.23
  4. Step 4: Simplify right side
    509,442.89x = 261,337,049,185.04
  5. Step 5: Solve for x
    x = 261,337,049,185.04/509,442.89
  6. Step 6: Final answer
    x = 512,985.96

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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.