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Finding the Fourth Proportional to 375,423.04, 517,956.96 and 214,164.64

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Solution

The fourth proportional to 375,423.04, 517,956.96 and 214,164.64 is: 295,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,423.04 : 517,956.96 = 214,164.64 : x
  2. Step 2: Convert to fraction form
    375,423.04/517,956.96 = 214,164.64/x
  3. Step 3: Cross multiply
    375,423.04x = 517,956.96 × 214,164.64
  4. Step 4: Simplify right side
    375,423.04x = 110,928,065,873.89
  5. Step 5: Solve for x
    x = 110,928,065,873.89/375,423.04
  6. Step 6: Final answer
    x = 295,474.85

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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.