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Finding the Fourth Proportional to 654,336, 981,734.40 and 322,145.28

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Solution

The fourth proportional to 654,336, 981,734.40 and 322,145.28 is: 483,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,336 : 981,734.40 = 322,145.28 : x
  2. Step 2: Convert to fraction form
    654,336/981,734.40 = 322,145.28/x
  3. Step 3: Cross multiply
    654,336x = 981,734.40 × 322,145.28
  4. Step 4: Simplify right side
    654,336x = 316,261,103,173.63
  5. Step 5: Solve for x
    x = 316,261,103,173.63/654,336
  6. Step 6: Final answer
    x = 483,331.35

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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.