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Finding the Fourth Proportional to 378,624.32, 522,501.60 and 208,858.88

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Solution

The fourth proportional to 378,624.32, 522,501.60 and 208,858.88 is: 288,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,624.32 : 522,501.60 = 208,858.88 : x
  2. Step 2: Convert to fraction form
    378,624.32/522,501.60 = 208,858.88/x
  3. Step 3: Cross multiply
    378,624.32x = 522,501.60 × 208,858.88
  4. Step 4: Simplify right side
    378,624.32x = 109,129,098,974.21
  5. Step 5: Solve for x
    x = 109,129,098,974.21/378,624.32
  6. Step 6: Final answer
    x = 288,225.28

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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.