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Finding the Fourth Proportional to 653,364.79, 978,734.97 and 297,889.81

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Solution

The fourth proportional to 653,364.79, 978,734.97 and 297,889.81 is: 446,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,364.79 : 978,734.97 = 297,889.81 : x
  2. Step 2: Convert to fraction form
    653,364.79/978,734.97 = 297,889.81/x
  3. Step 3: Cross multiply
    653,364.79x = 978,734.97 × 297,889.81
  4. Step 4: Simplify right side
    653,364.79x = 291,555,174,253.66
  5. Step 5: Solve for x
    x = 291,555,174,253.66/653,364.79
  6. Step 6: Final answer
    x = 446,236.43

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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.