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Finding the Fourth Proportional to 429,665.54, 644,498.58 and 163,364.54

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Solution

The fourth proportional to 429,665.54, 644,498.58 and 163,364.54 is: 245,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,665.54 : 644,498.58 = 163,364.54 : x
  2. Step 2: Convert to fraction form
    429,665.54/644,498.58 = 163,364.54/x
  3. Step 3: Cross multiply
    429,665.54x = 644,498.58 × 163,364.54
  4. Step 4: Simplify right side
    429,665.54x = 105,288,214,052.35
  5. Step 5: Solve for x
    x = 105,288,214,052.35/429,665.54
  6. Step 6: Final answer
    x = 245,046.91

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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.