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Finding the Fourth Proportional to 297,139.32, 445,723.56 and 97,378.74

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Solution

The fourth proportional to 297,139.32, 445,723.56 and 97,378.74 is: 146,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,139.32 : 445,723.56 = 97,378.74 : x
  2. Step 2: Convert to fraction form
    297,139.32/445,723.56 = 97,378.74/x
  3. Step 3: Cross multiply
    297,139.32x = 445,723.56 × 97,378.74
  4. Step 4: Simplify right side
    297,139.32x = 43,403,998,661.11
  5. Step 5: Solve for x
    x = 43,403,998,661.11/297,139.32
  6. Step 6: Final answer
    x = 146,072.89

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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.