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Finding the Fourth Proportional to 649,462,154.24, 896,387,978.14 and 385,290,779.24

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Solution

The fourth proportional to 649,462,154.24, 896,387,978.14 and 385,290,779.24 is: 531,778,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,462,154.24 : 896,387,978.14 = 385,290,779.24 : x
  2. Step 2: Convert to fraction form
    649,462,154.24/896,387,978.14 = 385,290,779.24/x
  3. Step 3: Cross multiply
    649,462,154.24x = 896,387,978.14 × 385,290,779.24
  4. Step 4: Simplify right side
    649,462,154.24x = 345,370,022,598,928,704
  5. Step 5: Solve for x
    x = 345,370,022,598,928,704/649,462,154.24
  6. Step 6: Final answer
    x = 531,778,519.11

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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.