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Finding the Fourth Proportional to 242,571.30, 364,513.05 and 213,702.90

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Solution

The fourth proportional to 242,571.30, 364,513.05 and 213,702.90 is: 321,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,571.30 : 364,513.05 = 213,702.90 : x
  2. Step 2: Convert to fraction form
    242,571.30/364,513.05 = 213,702.90/x
  3. Step 3: Cross multiply
    242,571.30x = 364,513.05 × 213,702.90
  4. Step 4: Simplify right side
    242,571.30x = 77,897,495,872.85
  5. Step 5: Solve for x
    x = 77,897,495,872.85/242,571.30
  6. Step 6: Final answer
    x = 321,132.37

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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.