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Finding the Fourth Proportional to 516,308.84, 709,979.44 and 448,206.78

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Solution

The fourth proportional to 516,308.84, 709,979.44 and 448,206.78 is: 616,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,308.84 : 709,979.44 = 448,206.78 : x
  2. Step 2: Convert to fraction form
    516,308.84/709,979.44 = 448,206.78/x
  3. Step 3: Cross multiply
    516,308.84x = 709,979.44 × 448,206.78
  4. Step 4: Simplify right side
    516,308.84x = 318,217,598,668.60
  5. Step 5: Solve for x
    x = 318,217,598,668.60/516,308.84
  6. Step 6: Final answer
    x = 616,331.88

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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.