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Finding the Fourth Proportional to 693,965,457.84, 957,666,663.60 and 376,424,908.87

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Solution

The fourth proportional to 693,965,457.84, 957,666,663.60 and 376,424,908.87 is: 519,463,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,965,457.84 : 957,666,663.60 = 376,424,908.87 : x
  2. Step 2: Convert to fraction form
    693,965,457.84/957,666,663.60 = 376,424,908.87/x
  3. Step 3: Cross multiply
    693,965,457.84x = 957,666,663.60 × 376,424,908.87
  4. Step 4: Simplify right side
    693,965,457.84x = 360,489,586,577,327,296
  5. Step 5: Solve for x
    x = 360,489,586,577,327,296/693,965,457.84
  6. Step 6: Final answer
    x = 519,463,299.66

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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.