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Finding the Fourth Proportional to 429,568.00, 644,434.90 and 163,307.75

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Solution

The fourth proportional to 429,568.00, 644,434.90 and 163,307.75 is: 244,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,568.00 : 644,434.90 = 163,307.75 : x
  2. Step 2: Convert to fraction form
    429,568.00/644,434.90 = 163,307.75/x
  3. Step 3: Cross multiply
    429,568.00x = 644,434.90 × 163,307.75
  4. Step 4: Simplify right side
    429,568.00x = 105,241,214,217.74
  5. Step 5: Solve for x
    x = 105,241,214,217.74/429,568.00
  6. Step 6: Final answer
    x = 244,993.14

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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.