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Finding the Fourth Proportional to 506,998.50, 699,672.54 and 280,658.58

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Solution

The fourth proportional to 506,998.50, 699,672.54 and 280,658.58 is: 387,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,998.50 : 699,672.54 = 280,658.58 : x
  2. Step 2: Convert to fraction form
    506,998.50/699,672.54 = 280,658.58/x
  3. Step 3: Cross multiply
    506,998.50x = 699,672.54 × 280,658.58
  4. Step 4: Simplify right side
    506,998.50x = 196,369,101,541.39
  5. Step 5: Solve for x
    x = 196,369,101,541.39/506,998.50
  6. Step 6: Final answer
    x = 387,316.93

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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.