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Finding the Fourth Proportional to 320,652,045.90, 480,978,068.85 and 139,253,517.90

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Solution

The fourth proportional to 320,652,045.90, 480,978,068.85 and 139,253,517.90 is: 208,880,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,652,045.90 : 480,978,068.85 = 139,253,517.90 : x
  2. Step 2: Convert to fraction form
    320,652,045.90/480,978,068.85 = 139,253,517.90/x
  3. Step 3: Cross multiply
    320,652,045.90x = 480,978,068.85 × 139,253,517.90
  4. Step 4: Simplify right side
    320,652,045.90x = 66,977,888,120,110,912
  5. Step 5: Solve for x
    x = 66,977,888,120,110,912/320,652,045.90
  6. Step 6: Final answer
    x = 208,880,276.85

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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.