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Finding the Fourth Proportional to 409,256.26, 564,860.74 and 275,042.50

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Solution

The fourth proportional to 409,256.26, 564,860.74 and 275,042.50 is: 379,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,256.26 : 564,860.74 = 275,042.50 : x
  2. Step 2: Convert to fraction form
    409,256.26/564,860.74 = 275,042.50/x
  3. Step 3: Cross multiply
    409,256.26x = 564,860.74 × 275,042.50
  4. Step 4: Simplify right side
    409,256.26x = 155,360,710,081.45
  5. Step 5: Solve for x
    x = 155,360,710,081.45/409,256.26
  6. Step 6: Final answer
    x = 379,617.19

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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.