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Finding the Fourth Proportional to 409,077.52, 564,701.16 and 275,019.28

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Solution

The fourth proportional to 409,077.52, 564,701.16 and 275,019.28 is: 379,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,077.52 : 564,701.16 = 275,019.28 : x
  2. Step 2: Convert to fraction form
    409,077.52/564,701.16 = 275,019.28/x
  3. Step 3: Cross multiply
    409,077.52x = 564,701.16 × 275,019.28
  4. Step 4: Simplify right side
    409,077.52x = 155,303,706,438.37
  5. Step 5: Solve for x
    x = 155,303,706,438.37/409,077.52
  6. Step 6: Final answer
    x = 379,643.71

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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.