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Finding the Fourth Proportional to 407,842.10, 611,825.38 and 208,053.48

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Solution

The fourth proportional to 407,842.10, 611,825.38 and 208,053.48 is: 312,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,842.10 : 611,825.38 = 208,053.48 : x
  2. Step 2: Convert to fraction form
    407,842.10/611,825.38 = 208,053.48/x
  3. Step 3: Cross multiply
    407,842.10x = 611,825.38 × 208,053.48
  4. Step 4: Simplify right side
    407,842.10x = 127,292,399,461.32
  5. Step 5: Solve for x
    x = 127,292,399,461.32/407,842.10
  6. Step 6: Final answer
    x = 312,111.97

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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.