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Finding the Fourth Proportional to 502,957.76, 694,090.12 and 288,116.56

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Solution

The fourth proportional to 502,957.76, 694,090.12 and 288,116.56 is: 397,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,957.76 : 694,090.12 = 288,116.56 : x
  2. Step 2: Convert to fraction form
    502,957.76/694,090.12 = 288,116.56/x
  3. Step 3: Cross multiply
    502,957.76x = 694,090.12 × 288,116.56
  4. Step 4: Simplify right side
    502,957.76x = 199,978,857,704.39
  5. Step 5: Solve for x
    x = 199,978,857,704.39/502,957.76
  6. Step 6: Final answer
    x = 397,605.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.