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Finding the Fourth Proportional to 463,955,858.54, 640,282,068.89 and 287,800,611.11

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Solution

The fourth proportional to 463,955,858.54, 640,282,068.89 and 287,800,611.11 is: 397,179,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,955,858.54 : 640,282,068.89 = 287,800,611.11 : x
  2. Step 2: Convert to fraction form
    463,955,858.54/640,282,068.89 = 287,800,611.11/x
  3. Step 3: Cross multiply
    463,955,858.54x = 640,282,068.89 × 287,800,611.11
  4. Step 4: Simplify right side
    463,955,858.54x = 184,273,570,704,676,704
  5. Step 5: Solve for x
    x = 184,273,570,704,676,704/463,955,858.54
  6. Step 6: Final answer
    x = 397,179,100.80

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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.