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Finding the Fourth Proportional to 357,070.43, 535,051.90 and 206,938.34

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Solution

The fourth proportional to 357,070.43, 535,051.90 and 206,938.34 is: 310,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,070.43 : 535,051.90 = 206,938.34 : x
  2. Step 2: Convert to fraction form
    357,070.43/535,051.90 = 206,938.34/x
  3. Step 3: Cross multiply
    357,070.43x = 535,051.90 × 206,938.34
  4. Step 4: Simplify right side
    357,070.43x = 110,722,753,596.15
  5. Step 5: Solve for x
    x = 110,722,753,596.15/357,070.43
  6. Step 6: Final answer
    x = 310,086.60

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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.