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Finding the Fourth Proportional to 418,230.95, 626,504.42 and 193,281.59

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Solution

The fourth proportional to 418,230.95, 626,504.42 and 193,281.59 is: 289,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,230.95 : 626,504.42 = 193,281.59 : x
  2. Step 2: Convert to fraction form
    418,230.95/626,504.42 = 193,281.59/x
  3. Step 3: Cross multiply
    418,230.95x = 626,504.42 × 193,281.59
  4. Step 4: Simplify right side
    418,230.95x = 121,091,772,489.09
  5. Step 5: Solve for x
    x = 121,091,772,489.09/418,230.95
  6. Step 6: Final answer
    x = 289,533.27

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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.