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Finding the Fourth Proportional to 297,314.74, 445,987.10 and 84,097.90

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Solution

The fourth proportional to 297,314.74, 445,987.10 and 84,097.90 is: 126,151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,314.74 : 445,987.10 = 84,097.90 : x
  2. Step 2: Convert to fraction form
    297,314.74/445,987.10 = 84,097.90/x
  3. Step 3: Cross multiply
    297,314.74x = 445,987.10 × 84,097.90
  4. Step 4: Simplify right side
    297,314.74x = 37,506,578,537.09
  5. Step 5: Solve for x
    x = 37,506,578,537.09/297,314.74
  6. Step 6: Final answer
    x = 126,151.09

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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.