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Finding the Fourth Proportional to 407,859.13, 611,850.93 and 208,070.56

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Solution

The fourth proportional to 407,859.13, 611,850.93 and 208,070.56 is: 312,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,859.13 : 611,850.93 = 208,070.56 : x
  2. Step 2: Convert to fraction form
    407,859.13/611,850.93 = 208,070.56/x
  3. Step 3: Cross multiply
    407,859.13x = 611,850.93 × 208,070.56
  4. Step 4: Simplify right side
    407,859.13x = 127,308,165,641.62
  5. Step 5: Solve for x
    x = 127,308,165,641.62/407,859.13
  6. Step 6: Final answer
    x = 312,137.59

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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.