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Finding the Fourth Proportional to 429,178.58, 643,792.46 and 113,627.28

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Solution

The fourth proportional to 429,178.58, 643,792.46 and 113,627.28 is: 170,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,178.58 : 643,792.46 = 113,627.28 : x
  2. Step 2: Convert to fraction form
    429,178.58/643,792.46 = 113,627.28/x
  3. Step 3: Cross multiply
    429,178.58x = 643,792.46 × 113,627.28
  4. Step 4: Simplify right side
    429,178.58x = 73,152,386,114.31
  5. Step 5: Solve for x
    x = 73,152,386,114.31/429,178.58
  6. Step 6: Final answer
    x = 170,447.43

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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.