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Finding the Fourth Proportional to 654,326.64, 981,490.10 and 205,047.40

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Solution

The fourth proportional to 654,326.64, 981,490.10 and 205,047.40 is: 307,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,326.64 : 981,490.10 = 205,047.40 : x
  2. Step 2: Convert to fraction form
    654,326.64/981,490.10 = 205,047.40/x
  3. Step 3: Cross multiply
    654,326.64x = 981,490.10 × 205,047.40
  4. Step 4: Simplify right side
    654,326.64x = 201,251,993,130.74
  5. Step 5: Solve for x
    x = 201,251,993,130.74/654,326.64
  6. Step 6: Final answer
    x = 307,571.14

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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.