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Finding the Fourth Proportional to 476,286.84, 657,273.51 and 261,430.56

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Solution

The fourth proportional to 476,286.84, 657,273.51 and 261,430.56 is: 360,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,286.84 : 657,273.51 = 261,430.56 : x
  2. Step 2: Convert to fraction form
    476,286.84/657,273.51 = 261,430.56/x
  3. Step 3: Cross multiply
    476,286.84x = 657,273.51 × 261,430.56
  4. Step 4: Simplify right side
    476,286.84x = 171,831,381,792.47
  5. Step 5: Solve for x
    x = 171,831,381,792.47/476,286.84
  6. Step 6: Final answer
    x = 360,772.89

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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.