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Finding the Fourth Proportional to 429,016.50, 643,496.40 and 176,230.89

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Solution

The fourth proportional to 429,016.50, 643,496.40 and 176,230.89 is: 264,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,016.50 : 643,496.40 = 176,230.89 : x
  2. Step 2: Convert to fraction form
    429,016.50/643,496.40 = 176,230.89/x
  3. Step 3: Cross multiply
    429,016.50x = 643,496.40 × 176,230.89
  4. Step 4: Simplify right side
    429,016.50x = 113,403,943,283.80
  5. Step 5: Solve for x
    x = 113,403,943,283.80/429,016.50
  6. Step 6: Final answer
    x = 264,334.69

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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.