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Finding the Fourth Proportional to 407,664.96, 611,262 and 158,055.36

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Solution

The fourth proportional to 407,664.96, 611,262 and 158,055.36 is: 236,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,664.96 : 611,262 = 158,055.36 : x
  2. Step 2: Convert to fraction form
    407,664.96/611,262 = 158,055.36/x
  3. Step 3: Cross multiply
    407,664.96x = 611,262 × 158,055.36
  4. Step 4: Simplify right side
    407,664.96x = 96,613,235,464.32
  5. Step 5: Solve for x
    x = 96,613,235,464.32/407,664.96
  6. Step 6: Final answer
    x = 236,991.76

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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.