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Finding the Fourth Proportional to 309,819.42, 464,750.19 and 99,444.60

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Solution

The fourth proportional to 309,819.42, 464,750.19 and 99,444.60 is: 149,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,819.42 : 464,750.19 = 99,444.60 : x
  2. Step 2: Convert to fraction form
    309,819.42/464,750.19 = 99,444.60/x
  3. Step 3: Cross multiply
    309,819.42x = 464,750.19 × 99,444.60
  4. Step 4: Simplify right side
    309,819.42x = 46,216,896,744.47
  5. Step 5: Solve for x
    x = 46,216,896,744.47/309,819.42
  6. Step 6: Final answer
    x = 149,173.66

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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.