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Finding the Fourth Proportional to 524,416,538.56, 723,694,894.06 and 289,467,243.38

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Solution

The fourth proportional to 524,416,538.56, 723,694,894.06 and 289,467,243.38 is: 399,464,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,416,538.56 : 723,694,894.06 = 289,467,243.38 : x
  2. Step 2: Convert to fraction form
    524,416,538.56/723,694,894.06 = 289,467,243.38/x
  3. Step 3: Cross multiply
    524,416,538.56x = 723,694,894.06 × 289,467,243.38
  4. Step 4: Simplify right side
    524,416,538.56x = 209,485,966,031,729,312
  5. Step 5: Solve for x
    x = 209,485,966,031,729,312/524,416,538.56
  6. Step 6: Final answer
    x = 399,464,834.97

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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.