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Finding the Fourth Proportional to 438,175.31, 604,782.81 and 256,945.61

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Solution

The fourth proportional to 438,175.31, 604,782.81 and 256,945.61 is: 354,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,175.31 : 604,782.81 = 256,945.61 : x
  2. Step 2: Convert to fraction form
    438,175.31/604,782.81 = 256,945.61/x
  3. Step 3: Cross multiply
    438,175.31x = 604,782.81 × 256,945.61
  4. Step 4: Simplify right side
    438,175.31x = 155,396,289,544.92
  5. Step 5: Solve for x
    x = 155,396,289,544.92/438,175.31
  6. Step 6: Final answer
    x = 354,644.11

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1.5x scale

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.