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Finding the Fourth Proportional to 291,920.32, 437,185.44 and 186,412.48

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Solution

The fourth proportional to 291,920.32, 437,185.44 and 186,412.48 is: 279,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,920.32 : 437,185.44 = 186,412.48 : x
  2. Step 2: Convert to fraction form
    291,920.32/437,185.44 = 186,412.48/x
  3. Step 3: Cross multiply
    291,920.32x = 437,185.44 × 186,412.48
  4. Step 4: Simplify right side
    291,920.32x = 81,496,822,090.29
  5. Step 5: Solve for x
    x = 81,496,822,090.29/291,920.32
  6. Step 6: Final answer
    x = 279,174.89

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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.