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Finding the Fourth Proportional to 647,366,181.88, 893,363,650.68 and 361,254,708.20

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Solution

The fourth proportional to 647,366,181.88, 893,363,650.68 and 361,254,708.20 is: 498,530,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,366,181.88 : 893,363,650.68 = 361,254,708.20 : x
  2. Step 2: Convert to fraction form
    647,366,181.88/893,363,650.68 = 361,254,708.20/x
  3. Step 3: Cross multiply
    647,366,181.88x = 893,363,650.68 × 361,254,708.20
  4. Step 4: Simplify right side
    647,366,181.88x = 322,731,824,946,209,664
  5. Step 5: Solve for x
    x = 322,731,824,946,209,664/647,366,181.88
  6. Step 6: Final answer
    x = 498,530,559.64

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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.