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Finding the Fourth Proportional to 688,814, 950,574.65 and 378,729.69

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Solution

The fourth proportional to 688,814, 950,574.65 and 378,729.69 is: 522,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,814 : 950,574.65 = 378,729.69 : x
  2. Step 2: Convert to fraction form
    688,814/950,574.65 = 378,729.69/x
  3. Step 3: Cross multiply
    688,814x = 950,574.65 × 378,729.69
  4. Step 4: Simplify right side
    688,814x = 360,010,842,516.36
  5. Step 5: Solve for x
    x = 360,010,842,516.36/688,814
  6. Step 6: Final answer
    x = 522,653.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.