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Finding the Fourth Proportional to 654,328.64, 981,493.10 and 205,049.40

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Solution

The fourth proportional to 654,328.64, 981,493.10 and 205,049.40 is: 307,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,328.64 : 981,493.10 = 205,049.40 : x
  2. Step 2: Convert to fraction form
    654,328.64/981,493.10 = 205,049.40/x
  3. Step 3: Cross multiply
    654,328.64x = 981,493.10 × 205,049.40
  4. Step 4: Simplify right side
    654,328.64x = 201,254,571,259.14
  5. Step 5: Solve for x
    x = 201,254,571,259.14/654,328.64
  6. Step 6: Final answer
    x = 307,574.14

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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.