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Finding the Fourth Proportional to 377,873.64, 521,421.30 and 214,519.32

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Solution

The fourth proportional to 377,873.64, 521,421.30 and 214,519.32 is: 296,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,873.64 : 521,421.30 = 214,519.32 : x
  2. Step 2: Convert to fraction form
    377,873.64/521,421.30 = 214,519.32/x
  3. Step 3: Cross multiply
    377,873.64x = 521,421.30 × 214,519.32
  4. Step 4: Simplify right side
    377,873.64x = 111,854,942,709.52
  5. Step 5: Solve for x
    x = 111,854,942,709.52/377,873.64
  6. Step 6: Final answer
    x = 296,011.50

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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.