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Finding the Fourth Proportional to 411,763,951.80, 617,645,927.70 and 139,130,782.20

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Solution

The fourth proportional to 411,763,951.80, 617,645,927.70 and 139,130,782.20 is: 208,696,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,763,951.80 : 617,645,927.70 = 139,130,782.20 : x
  2. Step 2: Convert to fraction form
    411,763,951.80/617,645,927.70 = 139,130,782.20/x
  3. Step 3: Cross multiply
    411,763,951.80x = 617,645,927.70 × 139,130,782.20
  4. Step 4: Simplify right side
    411,763,951.80x = 85,933,561,043,545,648
  5. Step 5: Solve for x
    x = 85,933,561,043,545,648/411,763,951.80
  6. Step 6: Final answer
    x = 208,696,173.30

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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.