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Finding the Fourth Proportional to 354,497.40, 531,409.74 and 141,396.36

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Solution

The fourth proportional to 354,497.40, 531,409.74 and 141,396.36 is: 211,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,497.40 : 531,409.74 = 141,396.36 : x
  2. Step 2: Convert to fraction form
    354,497.40/531,409.74 = 141,396.36/x
  3. Step 3: Cross multiply
    354,497.40x = 531,409.74 × 141,396.36
  4. Step 4: Simplify right side
    354,497.40x = 75,139,402,904.55
  5. Step 5: Solve for x
    x = 75,139,402,904.55/354,497.40
  6. Step 6: Final answer
    x = 211,960.38

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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.