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Finding the Fourth Proportional to 354,835.94, 532,362.18 and 212,838.89

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Solution

The fourth proportional to 354,835.94, 532,362.18 and 212,838.89 is: 319,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,835.94 : 532,362.18 = 212,838.89 : x
  2. Step 2: Convert to fraction form
    354,835.94/532,362.18 = 212,838.89/x
  3. Step 3: Cross multiply
    354,835.94x = 532,362.18 × 212,838.89
  4. Step 4: Simplify right side
    354,835.94x = 113,307,375,469.18
  5. Step 5: Solve for x
    x = 113,307,375,469.18/354,835.94
  6. Step 6: Final answer
    x = 319,323.28

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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.