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Finding the Fourth Proportional to 503,747.02, 694,946 and 340,350.78

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Solution

The fourth proportional to 503,747.02, 694,946 and 340,350.78 is: 469,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,747.02 : 694,946 = 340,350.78 : x
  2. Step 2: Convert to fraction form
    503,747.02/694,946 = 340,350.78/x
  3. Step 3: Cross multiply
    503,747.02x = 694,946 × 340,350.78
  4. Step 4: Simplify right side
    503,747.02x = 236,525,413,157.88
  5. Step 5: Solve for x
    x = 236,525,413,157.88/503,747.02
  6. Step 6: Final answer
    x = 469,532.13

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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.