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Finding the Fourth Proportional to 509,868.51, 703,635.73 and 280,443.54

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Solution

The fourth proportional to 509,868.51, 703,635.73 and 280,443.54 is: 387,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,868.51 : 703,635.73 = 280,443.54 : x
  2. Step 2: Convert to fraction form
    509,868.51/703,635.73 = 280,443.54/x
  3. Step 3: Cross multiply
    509,868.51x = 703,635.73 × 280,443.54
  4. Step 4: Simplify right side
    509,868.51x = 197,330,092,428.10
  5. Step 5: Solve for x
    x = 197,330,092,428.10/509,868.51
  6. Step 6: Final answer
    x = 387,021.53

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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.