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Finding the Fourth Proportional to 289,077,978.22, 433,565,710.44 and 131,474,076.98

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Solution

The fourth proportional to 289,077,978.22, 433,565,710.44 and 131,474,076.98 is: 197,187,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,077,978.22 : 433,565,710.44 = 131,474,076.98 : x
  2. Step 2: Convert to fraction form
    289,077,978.22/433,565,710.44 = 131,474,076.98/x
  3. Step 3: Cross multiply
    289,077,978.22x = 433,565,710.44 × 131,474,076.98
  4. Step 4: Simplify right side
    289,077,978.22x = 57,002,651,587,616,088
  5. Step 5: Solve for x
    x = 57,002,651,587,616,088/289,077,978.22
  6. Step 6: Final answer
    x = 197,187,803.58

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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.