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Finding the Fourth Proportional to 414,646.71, 572,389.02 and 278,759.47

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Solution

The fourth proportional to 414,646.71, 572,389.02 and 278,759.47 is: 384,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,646.71 : 572,389.02 = 278,759.47 : x
  2. Step 2: Convert to fraction form
    414,646.71/572,389.02 = 278,759.47/x
  3. Step 3: Cross multiply
    414,646.71x = 572,389.02 × 278,759.47
  4. Step 4: Simplify right side
    414,646.71x = 159,558,858,455.22
  5. Step 5: Solve for x
    x = 159,558,858,455.22/414,646.71
  6. Step 6: Final answer
    x = 384,806.76

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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.