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Finding the Fourth Proportional to 421,785.12, 582,044.88 and 258,391.68

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Solution

The fourth proportional to 421,785.12, 582,044.88 and 258,391.68 is: 356,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,785.12 : 582,044.88 = 258,391.68 : x
  2. Step 2: Convert to fraction form
    421,785.12/582,044.88 = 258,391.68/x
  3. Step 3: Cross multiply
    421,785.12x = 582,044.88 × 258,391.68
  4. Step 4: Simplify right side
    421,785.12x = 150,395,554,378.60
  5. Step 5: Solve for x
    x = 150,395,554,378.60/421,785.12
  6. Step 6: Final answer
    x = 356,569.13

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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.