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Finding the Fourth Proportional to 599,780,006.80, 899,670,010.20 and 478,847,654.80

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Solution

The fourth proportional to 599,780,006.80, 899,670,010.20 and 478,847,654.80 is: 718,271,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,780,006.80 : 899,670,010.20 = 478,847,654.80 : x
  2. Step 2: Convert to fraction form
    599,780,006.80/899,670,010.20 = 478,847,654.80/x
  3. Step 3: Cross multiply
    599,780,006.80x = 899,670,010.20 × 478,847,654.80
  4. Step 4: Simplify right side
    599,780,006.80x = 430,804,874,478,162,112
  5. Step 5: Solve for x
    x = 430,804,874,478,162,112/599,780,006.80
  6. Step 6: Final answer
    x = 718,271,482.20

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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.