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Finding the Fourth Proportional to 429,805.17, 644,824.40 and 130,295.52

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Solution

The fourth proportional to 429,805.17, 644,824.40 and 130,295.52 is: 195,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,805.17 : 644,824.40 = 130,295.52 : x
  2. Step 2: Convert to fraction form
    429,805.17/644,824.40 = 130,295.52/x
  3. Step 3: Cross multiply
    429,805.17x = 644,824.40 × 130,295.52
  4. Step 4: Simplify right side
    429,805.17x = 84,017,729,855.21
  5. Step 5: Solve for x
    x = 84,017,729,855.21/429,805.17
  6. Step 6: Final answer
    x = 195,478.64

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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.