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Finding the Fourth Proportional to 328,271.40, 492,459.57 and 138,733.56

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Solution

The fourth proportional to 328,271.40, 492,459.57 and 138,733.56 is: 208,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,271.40 : 492,459.57 = 138,733.56 : x
  2. Step 2: Convert to fraction form
    328,271.40/492,459.57 = 138,733.56/x
  3. Step 3: Cross multiply
    328,271.40x = 492,459.57 × 138,733.56
  4. Step 4: Simplify right side
    328,271.40x = 68,320,669,302.17
  5. Step 5: Solve for x
    x = 68,320,669,302.17/328,271.40
  6. Step 6: Final answer
    x = 208,122.51

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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.