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Finding the Fourth Proportional to 358,879.74, 538,390.38 and 102,714.72

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Solution

The fourth proportional to 358,879.74, 538,390.38 and 102,714.72 is: 154,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,879.74 : 538,390.38 = 102,714.72 : x
  2. Step 2: Convert to fraction form
    358,879.74/538,390.38 = 102,714.72/x
  3. Step 3: Cross multiply
    358,879.74x = 538,390.38 × 102,714.72
  4. Step 4: Simplify right side
    358,879.74x = 55,300,617,132.39
  5. Step 5: Solve for x
    x = 55,300,617,132.39/358,879.74
  6. Step 6: Final answer
    x = 154,092.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.