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Finding the Fourth Proportional to 357,909.77, 536,836.74 and 208,054.47

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Solution

The fourth proportional to 357,909.77, 536,836.74 and 208,054.47 is: 312,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,909.77 : 536,836.74 = 208,054.47 : x
  2. Step 2: Convert to fraction form
    357,909.77/536,836.74 = 208,054.47/x
  3. Step 3: Cross multiply
    357,909.77x = 536,836.74 × 208,054.47
  4. Step 4: Simplify right side
    357,909.77x = 111,691,284,650.16
  5. Step 5: Solve for x
    x = 111,691,284,650.16/357,909.77
  6. Step 6: Final answer
    x = 312,065.48

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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.