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Finding the Fourth Proportional to 499,602,512.80, 689,523,583.80 and 287,868,791.44

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Solution

The fourth proportional to 499,602,512.80, 689,523,583.80 and 287,868,791.44 is: 397,300,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,602,512.80 : 689,523,583.80 = 287,868,791.44 : x
  2. Step 2: Convert to fraction form
    499,602,512.80/689,523,583.80 = 287,868,791.44/x
  3. Step 3: Cross multiply
    499,602,512.80x = 689,523,583.80 × 287,868,791.44
  4. Step 4: Simplify right side
    499,602,512.80x = 198,492,320,737,883,552
  5. Step 5: Solve for x
    x = 198,492,320,737,883,552/499,602,512.80
  6. Step 6: Final answer
    x = 397,300,485.19

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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.