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Finding the Fourth Proportional to 354,972, 532,535.76 and 133,356

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Solution

The fourth proportional to 354,972, 532,535.76 and 133,356 is: 200,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,972 : 532,535.76 = 133,356 : x
  2. Step 2: Convert to fraction form
    354,972/532,535.76 = 133,356/x
  3. Step 3: Cross multiply
    354,972x = 532,535.76 × 133,356
  4. Step 4: Simplify right side
    354,972x = 71,016,838,810.56
  5. Step 5: Solve for x
    x = 71,016,838,810.56/354,972
  6. Step 6: Final answer
    x = 200,063.21

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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.