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Finding the Fourth Proportional to 993,834,137.80, 1,490,751,206.70 and 339,523,978.60

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Solution

The fourth proportional to 993,834,137.80, 1,490,751,206.70 and 339,523,978.60 is: 509,285,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,834,137.80 : 1,490,751,206.70 = 339,523,978.60 : x
  2. Step 2: Convert to fraction form
    993,834,137.80/1,490,751,206.70 = 339,523,978.60/x
  3. Step 3: Cross multiply
    993,834,137.80x = 1,490,751,206.70 × 339,523,978.60
  4. Step 4: Simplify right side
    993,834,137.80x = 506,145,780,801,535,040
  5. Step 5: Solve for x
    x = 506,145,780,801,535,040/993,834,137.80
  6. Step 6: Final answer
    x = 509,285,967.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.