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Finding the Fourth Proportional to 306,429.72, 422,821.56 and 170,445.72

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Solution

The fourth proportional to 306,429.72, 422,821.56 and 170,445.72 is: 235,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,429.72 : 422,821.56 = 170,445.72 : x
  2. Step 2: Convert to fraction form
    306,429.72/422,821.56 = 170,445.72/x
  3. Step 3: Cross multiply
    306,429.72x = 422,821.56 × 170,445.72
  4. Step 4: Simplify right side
    306,429.72x = 72,068,125,225.72
  5. Step 5: Solve for x
    x = 72,068,125,225.72/306,429.72
  6. Step 6: Final answer
    x = 235,186.47

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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.