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Finding the Fourth Proportional to 978,927,709.24, 1,468,440,356.64 and 279,523,578.34

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Solution

The fourth proportional to 978,927,709.24, 1,468,440,356.64 and 279,523,578.34 is: 419,299,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,927,709.24 : 1,468,440,356.64 = 279,523,578.34 : x
  2. Step 2: Convert to fraction form
    978,927,709.24/1,468,440,356.64 = 279,523,578.34/x
  3. Step 3: Cross multiply
    978,927,709.24x = 1,468,440,356.64 × 279,523,578.34
  4. Step 4: Simplify right side
    978,927,709.24x = 410,463,703,066,878,592
  5. Step 5: Solve for x
    x = 410,463,703,066,878,592/978,927,709.24
  6. Step 6: Final answer
    x = 419,299,299.83

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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.