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Finding the Fourth Proportional to 328,407.36, 492,612.24 and 91,749.66

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Solution

The fourth proportional to 328,407.36, 492,612.24 and 91,749.66 is: 137,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,407.36 : 492,612.24 = 91,749.66 : x
  2. Step 2: Convert to fraction form
    328,407.36/492,612.24 = 91,749.66/x
  3. Step 3: Cross multiply
    328,407.36x = 492,612.24 × 91,749.66
  4. Step 4: Simplify right side
    328,407.36x = 45,197,005,531.84
  5. Step 5: Solve for x
    x = 45,197,005,531.84/328,407.36
  6. Step 6: Final answer
    x = 137,624.83

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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.