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Finding the Fourth Proportional to 429,877.10, 644,204.58 and 316,667.04

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Solution

The fourth proportional to 429,877.10, 644,204.58 and 316,667.04 is: 474,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,877.10 : 644,204.58 = 316,667.04 : x
  2. Step 2: Convert to fraction form
    429,877.10/644,204.58 = 316,667.04/x
  3. Step 3: Cross multiply
    429,877.10x = 644,204.58 × 316,667.04
  4. Step 4: Simplify right side
    429,877.10x = 203,998,357,503.04
  5. Step 5: Solve for x
    x = 203,998,357,503.04/429,877.10
  6. Step 6: Final answer
    x = 474,550.42

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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.