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Finding the Fourth Proportional to 309,523.68, 464,272.56 and 99,156.96

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Solution

The fourth proportional to 309,523.68, 464,272.56 and 99,156.96 is: 148,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,523.68 : 464,272.56 = 99,156.96 : x
  2. Step 2: Convert to fraction form
    309,523.68/464,272.56 = 99,156.96/x
  3. Step 3: Cross multiply
    309,523.68x = 464,272.56 × 99,156.96
  4. Step 4: Simplify right side
    309,523.68x = 46,035,855,661.02
  5. Step 5: Solve for x
    x = 46,035,855,661.02/309,523.68
  6. Step 6: Final answer
    x = 148,731.29

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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.