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Finding the Fourth Proportional to 316,429, 436,672.02 and 173,189.05

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Solution

The fourth proportional to 316,429, 436,672.02 and 173,189.05 is: 239,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,429 : 436,672.02 = 173,189.05 : x
  2. Step 2: Convert to fraction form
    316,429/436,672.02 = 173,189.05/x
  3. Step 3: Cross multiply
    316,429x = 436,672.02 × 173,189.05
  4. Step 4: Simplify right side
    316,429x = 75,626,812,305.38
  5. Step 5: Solve for x
    x = 75,626,812,305.38/316,429
  6. Step 6: Final answer
    x = 239,000.89

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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.