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Finding the Fourth Proportional to 658,813.56, 988,209.94 and 209,527.93

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Solution

The fourth proportional to 658,813.56, 988,209.94 and 209,527.93 is: 314,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,813.56 : 988,209.94 = 209,527.93 : x
  2. Step 2: Convert to fraction form
    658,813.56/988,209.94 = 209,527.93/x
  3. Step 3: Cross multiply
    658,813.56x = 988,209.94 × 209,527.93
  4. Step 4: Simplify right side
    658,813.56x = 207,057,583,133.62
  5. Step 5: Solve for x
    x = 207,057,583,133.62/658,813.56
  6. Step 6: Final answer
    x = 314,288.59

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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.