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Finding the Fourth Proportional to 309,644.88, 464,532.92 and 99,430.44

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Solution

The fourth proportional to 309,644.88, 464,532.92 and 99,430.44 is: 149,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,644.88 : 464,532.92 = 99,430.44 : x
  2. Step 2: Convert to fraction form
    309,644.88/464,532.92 = 99,430.44/x
  3. Step 3: Cross multiply
    309,644.88x = 464,532.92 × 99,430.44
  4. Step 4: Simplify right side
    309,644.88x = 46,188,712,630.08
  5. Step 5: Solve for x
    x = 46,188,712,630.08/309,644.88
  6. Step 6: Final answer
    x = 149,166.72

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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.