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Finding the Fourth Proportional to 429,569, 644,436.40 and 163,308.75

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Solution

The fourth proportional to 429,569, 644,436.40 and 163,308.75 is: 244,994.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,569 : 644,436.40 = 163,308.75 : x
  2. Step 2: Convert to fraction form
    429,569/644,436.40 = 163,308.75/x
  3. Step 3: Cross multiply
    429,569x = 644,436.40 × 163,308.75
  4. Step 4: Simplify right side
    429,569x = 105,242,102,938.50
  5. Step 5: Solve for x
    x = 105,242,102,938.50/429,569
  6. Step 6: Final answer
    x = 244,994.64

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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.