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Finding the Fourth Proportional to 559,978,884.77, 772,655,495.23 and 321,778,043.64

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Solution

The fourth proportional to 559,978,884.77, 772,655,495.23 and 321,778,043.64 is: 443,987,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,978,884.77 : 772,655,495.23 = 321,778,043.64 : x
  2. Step 2: Convert to fraction form
    559,978,884.77/772,655,495.23 = 321,778,043.64/x
  3. Step 3: Cross multiply
    559,978,884.77x = 772,655,495.23 × 321,778,043.64
  4. Step 4: Simplify right side
    559,978,884.77x = 248,623,573,663,206,976
  5. Step 5: Solve for x
    x = 248,623,573,663,206,976/559,978,884.77
  6. Step 6: Final answer
    x = 443,987,408.15

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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.