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Finding the Fourth Proportional to 425,470.51, 587,141.37 and 231,879.70

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Solution

The fourth proportional to 425,470.51, 587,141.37 and 231,879.70 is: 319,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,470.51 : 587,141.37 = 231,879.70 : x
  2. Step 2: Convert to fraction form
    425,470.51/587,141.37 = 231,879.70/x
  3. Step 3: Cross multiply
    425,470.51x = 587,141.37 × 231,879.70
  4. Step 4: Simplify right side
    425,470.51x = 136,146,164,733.19
  5. Step 5: Solve for x
    x = 136,146,164,733.19/425,470.51
  6. Step 6: Final answer
    x = 319,989.66

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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.