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Finding the Fourth Proportional to 559,876,999.80, 839,815,499.70 and 512,259,886.20

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Solution

The fourth proportional to 559,876,999.80, 839,815,499.70 and 512,259,886.20 is: 768,389,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,876,999.80 : 839,815,499.70 = 512,259,886.20 : x
  2. Step 2: Convert to fraction form
    559,876,999.80/839,815,499.70 = 512,259,886.20/x
  3. Step 3: Cross multiply
    559,876,999.80x = 839,815,499.70 × 512,259,886.20
  4. Step 4: Simplify right side
    559,876,999.80x = 430,203,792,305,318,144
  5. Step 5: Solve for x
    x = 430,203,792,305,318,144/559,876,999.80
  6. Step 6: Final answer
    x = 768,389,829.30

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1.5x scale

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.