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Finding the Fourth Proportional to 210,359.80, 315,539.70 and 193,156.60

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Solution

The fourth proportional to 210,359.80, 315,539.70 and 193,156.60 is: 289,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,359.80 : 315,539.70 = 193,156.60 : x
  2. Step 2: Convert to fraction form
    210,359.80/315,539.70 = 193,156.60/x
  3. Step 3: Cross multiply
    210,359.80x = 315,539.70 × 193,156.60
  4. Step 4: Simplify right side
    210,359.80x = 60,948,575,617.02
  5. Step 5: Solve for x
    x = 60,948,575,617.02/210,359.80
  6. Step 6: Final answer
    x = 289,734.90

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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.