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Finding the Fourth Proportional to 213,185.88, 319,473.70 and 156,582

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Solution

The fourth proportional to 213,185.88, 319,473.70 and 156,582 is: 234,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,185.88 : 319,473.70 = 156,582 : x
  2. Step 2: Convert to fraction form
    213,185.88/319,473.70 = 156,582/x
  3. Step 3: Cross multiply
    213,185.88x = 319,473.70 × 156,582
  4. Step 4: Simplify right side
    213,185.88x = 50,023,830,893.40
  5. Step 5: Solve for x
    x = 50,023,830,893.40/213,185.88
  6. Step 6: Final answer
    x = 234,648.89

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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.