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Finding the Fourth Proportional to 429,877.60, 644,205.33 and 316,667.54

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Solution

The fourth proportional to 429,877.60, 644,205.33 and 316,667.54 is: 474,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,877.60 : 644,205.33 = 316,667.54 : x
  2. Step 2: Convert to fraction form
    429,877.60/644,205.33 = 316,667.54/x
  3. Step 3: Cross multiply
    429,877.60x = 644,205.33 × 316,667.54
  4. Step 4: Simplify right side
    429,877.60x = 203,998,917,105.99
  5. Step 5: Solve for x
    x = 203,998,917,105.99/429,877.60
  6. Step 6: Final answer
    x = 474,551.17

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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.