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Finding the Fourth Proportional to 407,866.44, 561,458.34 and 353,833.32

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Solution

The fourth proportional to 407,866.44, 561,458.34 and 353,833.32 is: 487,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,866.44 : 561,458.34 = 353,833.32 : x
  2. Step 2: Convert to fraction form
    407,866.44/561,458.34 = 353,833.32/x
  3. Step 3: Cross multiply
    407,866.44x = 561,458.34 × 353,833.32
  4. Step 4: Simplify right side
    407,866.44x = 198,662,668,483.89
  5. Step 5: Solve for x
    x = 198,662,668,483.89/407,866.44
  6. Step 6: Final answer
    x = 487,077.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.