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Finding the Fourth Proportional to 923,704,978.91, 1,274,702,712.12 and 500,308,106.63

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Solution

The fourth proportional to 923,704,978.91, 1,274,702,712.12 and 500,308,106.63 is: 690,419,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,704,978.91 : 1,274,702,712.12 = 500,308,106.63 : x
  2. Step 2: Convert to fraction form
    923,704,978.91/1,274,702,712.12 = 500,308,106.63/x
  3. Step 3: Cross multiply
    923,704,978.91x = 1,274,702,712.12 × 500,308,106.63
  4. Step 4: Simplify right side
    923,704,978.91x = 637,744,100,416,883,072
  5. Step 5: Solve for x
    x = 637,744,100,416,883,072/923,704,978.91
  6. Step 6: Final answer
    x = 690,419,684.83

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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.