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Finding the Fourth Proportional to 647,467,999.90, 971,201,999.85 and 579,443,551.90

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Solution

The fourth proportional to 647,467,999.90, 971,201,999.85 and 579,443,551.90 is: 869,165,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,467,999.90 : 971,201,999.85 = 579,443,551.90 : x
  2. Step 2: Convert to fraction form
    647,467,999.90/971,201,999.85 = 579,443,551.90/x
  3. Step 3: Cross multiply
    647,467,999.90x = 971,201,999.85 × 579,443,551.90
  4. Step 4: Simplify right side
    647,467,999.90x = 562,756,736,405,467,264
  5. Step 5: Solve for x
    x = 562,756,736,405,467,264/647,467,999.90
  6. Step 6: Final answer
    x = 869,165,327.85

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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.