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Finding the Fourth Proportional to 509,433.88, 703,108.38 and 294,539.80

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Solution

The fourth proportional to 509,433.88, 703,108.38 and 294,539.80 is: 406,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,433.88 : 703,108.38 = 294,539.80 : x
  2. Step 2: Convert to fraction form
    509,433.88/703,108.38 = 294,539.80/x
  3. Step 3: Cross multiply
    509,433.88x = 703,108.38 × 294,539.80
  4. Step 4: Simplify right side
    509,433.88x = 207,093,401,623.52
  5. Step 5: Solve for x
    x = 207,093,401,623.52/509,433.88
  6. Step 6: Final answer
    x = 406,516.74

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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.