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Finding the Fourth Proportional to 545,253.25, 817,954.40 and 190,214.05

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Solution

The fourth proportional to 545,253.25, 817,954.40 and 190,214.05 is: 285,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,253.25 : 817,954.40 = 190,214.05 : x
  2. Step 2: Convert to fraction form
    545,253.25/817,954.40 = 190,214.05/x
  3. Step 3: Cross multiply
    545,253.25x = 817,954.40 × 190,214.05
  4. Step 4: Simplify right side
    545,253.25x = 155,586,419,139.32
  5. Step 5: Solve for x
    x = 155,586,419,139.32/545,253.25
  6. Step 6: Final answer
    x = 285,347.07

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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.