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Finding the Fourth Proportional to 506,918.84, 699,570.09 and 280,564.28

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Solution

The fourth proportional to 506,918.84, 699,570.09 and 280,564.28 is: 387,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,918.84 : 699,570.09 = 280,564.28 : x
  2. Step 2: Convert to fraction form
    506,918.84/699,570.09 = 280,564.28/x
  3. Step 3: Cross multiply
    506,918.84x = 699,570.09 × 280,564.28
  4. Step 4: Simplify right side
    506,918.84x = 196,274,378,610.39
  5. Step 5: Solve for x
    x = 196,274,378,610.39/506,918.84
  6. Step 6: Final answer
    x = 387,190.93

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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.