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Finding the Fourth Proportional to 537,858.54, 808,164.81 and 405,980.82

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Solution

The fourth proportional to 537,858.54, 808,164.81 and 405,980.82 is: 610,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,858.54 : 808,164.81 = 405,980.82 : x
  2. Step 2: Convert to fraction form
    537,858.54/808,164.81 = 405,980.82/x
  3. Step 3: Cross multiply
    537,858.54x = 808,164.81 × 405,980.82
  4. Step 4: Simplify right side
    537,858.54x = 328,099,412,258.94
  5. Step 5: Solve for x
    x = 328,099,412,258.94/537,858.54
  6. Step 6: Final answer
    x = 610,010.60

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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.