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Finding the Fourth Proportional to 923,860, 1,274,930.64 and 499,924

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Solution

The fourth proportional to 923,860, 1,274,930.64 and 499,924 is: 689,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,860 : 1,274,930.64 = 499,924 : x
  2. Step 2: Convert to fraction form
    923,860/1,274,930.64 = 499,924/x
  3. Step 3: Cross multiply
    923,860x = 1,274,930.64 × 499,924
  4. Step 4: Simplify right side
    923,860x = 637,368,425,271.36
  5. Step 5: Solve for x
    x = 637,368,425,271.36/923,860
  6. Step 6: Final answer
    x = 689,897.20

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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.