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Finding the Fourth Proportional to 505,961,762.77, 698,402,765.87 and 347,715,728.47

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Solution

The fourth proportional to 505,961,762.77, 698,402,765.87 and 347,715,728.47 is: 479,968,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,961,762.77 : 698,402,765.87 = 347,715,728.47 : x
  2. Step 2: Convert to fraction form
    505,961,762.77/698,402,765.87 = 347,715,728.47/x
  3. Step 3: Cross multiply
    505,961,762.77x = 698,402,765.87 × 347,715,728.47
  4. Step 4: Simplify right side
    505,961,762.77x = 242,845,626,500,388,256
  5. Step 5: Solve for x
    x = 242,845,626,500,388,256/505,961,762.77
  6. Step 6: Final answer
    x = 479,968,338.27

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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.