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Finding the Fourth Proportional to 654,546, 981,929.72 and 334,836.68

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Solution

The fourth proportional to 654,546, 981,929.72 and 334,836.68 is: 502,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,546 : 981,929.72 = 334,836.68 : x
  2. Step 2: Convert to fraction form
    654,546/981,929.72 = 334,836.68/x
  3. Step 3: Cross multiply
    654,546x = 981,929.72 × 334,836.68
  4. Step 4: Simplify right side
    654,546x = 328,786,080,854.30
  5. Step 5: Solve for x
    x = 328,786,080,854.30/654,546
  6. Step 6: Final answer
    x = 502,311.65

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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.