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Finding the Fourth Proportional to 354,725.73, 532,121.40 and 141,442.20

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Solution

The fourth proportional to 354,725.73, 532,121.40 and 141,442.20 is: 212,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,725.73 : 532,121.40 = 141,442.20 : x
  2. Step 2: Convert to fraction form
    354,725.73/532,121.40 = 141,442.20/x
  3. Step 3: Cross multiply
    354,725.73x = 532,121.40 × 141,442.20
  4. Step 4: Simplify right side
    354,725.73x = 75,264,421,483.08
  5. Step 5: Solve for x
    x = 75,264,421,483.08/354,725.73
  6. Step 6: Final answer
    x = 212,176.38

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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.