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Finding the Fourth Proportional to 309,878.46, 464,773.95 and 99,489.06

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Solution

The fourth proportional to 309,878.46, 464,773.95 and 99,489.06 is: 149,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,878.46 : 464,773.95 = 99,489.06 : x
  2. Step 2: Convert to fraction form
    309,878.46/464,773.95 = 99,489.06/x
  3. Step 3: Cross multiply
    309,878.46x = 464,773.95 × 99,489.06
  4. Step 4: Simplify right side
    309,878.46x = 46,239,923,397.99
  5. Step 5: Solve for x
    x = 46,239,923,397.99/309,878.46
  6. Step 6: Final answer
    x = 149,219.55

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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.