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Finding the Fourth Proportional to 902,000, 1,244,799.60 and 499,592

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Solution

The fourth proportional to 902,000, 1,244,799.60 and 499,592 is: 689,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,000 : 1,244,799.60 = 499,592 : x
  2. Step 2: Convert to fraction form
    902,000/1,244,799.60 = 499,592/x
  3. Step 3: Cross multiply
    902,000x = 1,244,799.60 × 499,592
  4. Step 4: Simplify right side
    902,000x = 621,891,921,763.20
  5. Step 5: Solve for x
    x = 621,891,921,763.20/902,000
  6. Step 6: Final answer
    x = 689,458.89

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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.