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Finding the Fourth Proportional to 1,053,384.82, 1,579,144.11 and 786,823.54

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Solution

The fourth proportional to 1,053,384.82, 1,579,144.11 and 786,823.54 is: 1,179,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,384.82 : 1,579,144.11 = 786,823.54 : x
  2. Step 2: Convert to fraction form
    1,053,384.82/1,579,144.11 = 786,823.54/x
  3. Step 3: Cross multiply
    1,053,384.82x = 1,579,144.11 × 786,823.54
  4. Step 4: Simplify right side
    1,053,384.82x = 1,242,507,758,800.35
  5. Step 5: Solve for x
    x = 1,242,507,758,800.35/1,053,384.82
  6. Step 6: Final answer
    x = 1,179,538.32

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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.