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Finding the Fourth Proportional to 561,775.82, 775,303.99 and 307,165.28

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Solution

The fourth proportional to 561,775.82, 775,303.99 and 307,165.28 is: 423,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,775.82 : 775,303.99 = 307,165.28 : x
  2. Step 2: Convert to fraction form
    561,775.82/775,303.99 = 307,165.28/x
  3. Step 3: Cross multiply
    561,775.82x = 775,303.99 × 307,165.28
  4. Step 4: Simplify right side
    561,775.82x = 238,146,462,529.03
  5. Step 5: Solve for x
    x = 238,146,462,529.03/561,775.82
  6. Step 6: Final answer
    x = 423,917.26

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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.