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Finding the Fourth Proportional to 328,140.81, 492,238.98 and 91,483.70

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Solution

The fourth proportional to 328,140.81, 492,238.98 and 91,483.70 is: 137,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,140.81 : 492,238.98 = 91,483.70 : x
  2. Step 2: Convert to fraction form
    328,140.81/492,238.98 = 91,483.70/x
  3. Step 3: Cross multiply
    328,140.81x = 492,238.98 × 91,483.70
  4. Step 4: Simplify right side
    328,140.81x = 45,031,840,713.43
  5. Step 5: Solve for x
    x = 45,031,840,713.43/328,140.81
  6. Step 6: Final answer
    x = 137,233.28

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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.