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Finding the Fourth Proportional to 496,865,783.52, 685,677,500.64 and 288,145,676.16

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Solution

The fourth proportional to 496,865,783.52, 685,677,500.64 and 288,145,676.16 is: 397,642,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,865,783.52 : 685,677,500.64 = 288,145,676.16 : x
  2. Step 2: Convert to fraction form
    496,865,783.52/685,677,500.64 = 288,145,676.16/x
  3. Step 3: Cross multiply
    496,865,783.52x = 685,677,500.64 × 288,145,676.16
  4. Step 4: Simplify right side
    496,865,783.52x = 197,575,007,049,611,648
  5. Step 5: Solve for x
    x = 197,575,007,049,611,648/496,865,783.52
  6. Step 6: Final answer
    x = 397,642,610.14

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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.