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Finding the Fourth Proportional to 375,732.60, 518,515.20 and 214,609.02

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Solution

The fourth proportional to 375,732.60, 518,515.20 and 214,609.02 is: 296,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,732.60 : 518,515.20 = 214,609.02 : x
  2. Step 2: Convert to fraction form
    375,732.60/518,515.20 = 214,609.02/x
  3. Step 3: Cross multiply
    375,732.60x = 518,515.20 × 214,609.02
  4. Step 4: Simplify right side
    375,732.60x = 111,278,038,927.10
  5. Step 5: Solve for x
    x = 111,278,038,927.10/375,732.60
  6. Step 6: Final answer
    x = 296,162.85

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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.