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Finding the Fourth Proportional to 429,674.14, 643,900.06 and 316,464.04

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Solution

The fourth proportional to 429,674.14, 643,900.06 and 316,464.04 is: 474,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,674.14 : 643,900.06 = 316,464.04 : x
  2. Step 2: Convert to fraction form
    429,674.14/643,900.06 = 316,464.04/x
  3. Step 3: Cross multiply
    429,674.14x = 643,900.06 × 316,464.04
  4. Step 4: Simplify right side
    429,674.14x = 203,771,214,343.84
  5. Step 5: Solve for x
    x = 203,771,214,343.84/429,674.14
  6. Step 6: Final answer
    x = 474,245.94

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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.