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Finding the Fourth Proportional to 357,909.82, 536,836.80 and 208,054.53

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Solution

The fourth proportional to 357,909.82, 536,836.80 and 208,054.53 is: 312,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,909.82 : 536,836.80 = 208,054.53 : x
  2. Step 2: Convert to fraction form
    357,909.82/536,836.80 = 208,054.53/x
  3. Step 3: Cross multiply
    357,909.82x = 536,836.80 × 208,054.53
  4. Step 4: Simplify right side
    357,909.82x = 111,691,328,110.70
  5. Step 5: Solve for x
    x = 111,691,328,110.70/357,909.82
  6. Step 6: Final answer
    x = 312,065.56

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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.