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Finding the Fourth Proportional to 647,443,201.10, 971,164,801.65 and 238,658,783.90

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Solution

The fourth proportional to 647,443,201.10, 971,164,801.65 and 238,658,783.90 is: 357,988,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,443,201.10 : 971,164,801.65 = 238,658,783.90 : x
  2. Step 2: Convert to fraction form
    647,443,201.10/971,164,801.65 = 238,658,783.90/x
  3. Step 3: Cross multiply
    647,443,201.10x = 971,164,801.65 × 238,658,783.90
  4. Step 4: Simplify right side
    647,443,201.10x = 231,777,010,528,273,728
  5. Step 5: Solve for x
    x = 231,777,010,528,273,728/647,443,201.10
  6. Step 6: Final answer
    x = 357,988,175.85

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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.