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Finding the Fourth Proportional to 358,714.32, 538,355.64 and 200,913.36

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Solution

The fourth proportional to 358,714.32, 538,355.64 and 200,913.36 is: 301,529.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,714.32 : 538,355.64 = 200,913.36 : x
  2. Step 2: Convert to fraction form
    358,714.32/538,355.64 = 200,913.36/x
  3. Step 3: Cross multiply
    358,714.32x = 538,355.64 × 200,913.36
  4. Step 4: Simplify right side
    358,714.32x = 108,162,840,507.35
  5. Step 5: Solve for x
    x = 108,162,840,507.35/358,714.32
  6. Step 6: Final answer
    x = 301,529.20

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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.