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Finding the Fourth Proportional to 429,665.04, 644,497.82 and 163,364.04

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Solution

The fourth proportional to 429,665.04, 644,497.82 and 163,364.04 is: 245,046.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,665.04 : 644,497.82 = 163,364.04 : x
  2. Step 2: Convert to fraction form
    429,665.04/644,497.82 = 163,364.04/x
  3. Step 3: Cross multiply
    429,665.04x = 644,497.82 × 163,364.04
  4. Step 4: Simplify right side
    429,665.04x = 105,287,767,646.39
  5. Step 5: Solve for x
    x = 105,287,767,646.39/429,665.04
  6. Step 6: Final answer
    x = 245,046.16

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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.