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Finding the Fourth Proportional to 1,099,563,338.20, 1,649,345,007.30 and 988,598,457.40

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Solution

The fourth proportional to 1,099,563,338.20, 1,649,345,007.30 and 988,598,457.40 is: 1,482,897,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,563,338.20 : 1,649,345,007.30 = 988,598,457.40 : x
  2. Step 2: Convert to fraction form
    1,099,563,338.20/1,649,345,007.30 = 988,598,457.40/x
  3. Step 3: Cross multiply
    1,099,563,338.20x = 1,649,345,007.30 × 988,598,457.40
  4. Step 4: Simplify right side
    1,099,563,338.20x = 1,630,539,929,937,171,712
  5. Step 5: Solve for x
    x = 1,630,539,929,937,171,712/1,099,563,338.20
  6. Step 6: Final answer
    x = 1,482,897,686.10

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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.