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Finding the Fourth Proportional to 524,489,356.46, 723,797,623.71 and 289,541,947.57

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Solution

The fourth proportional to 524,489,356.46, 723,797,623.71 and 289,541,947.57 is: 399,569,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,489,356.46 : 723,797,623.71 = 289,541,947.57 : x
  2. Step 2: Convert to fraction form
    524,489,356.46/723,797,623.71 = 289,541,947.57/x
  3. Step 3: Cross multiply
    524,489,356.46x = 723,797,623.71 × 289,541,947.57
  4. Step 4: Simplify right side
    524,489,356.46x = 209,569,773,615,531,424
  5. Step 5: Solve for x
    x = 209,569,773,615,531,424/524,489,356.46
  6. Step 6: Final answer
    x = 399,569,163.86

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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.