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Finding the Fourth Proportional to 538,390.86, 742,979.43 and 312,167.58

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Solution

The fourth proportional to 538,390.86, 742,979.43 and 312,167.58 is: 430,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,390.86 : 742,979.43 = 312,167.58 : x
  2. Step 2: Convert to fraction form
    538,390.86/742,979.43 = 312,167.58/x
  3. Step 3: Cross multiply
    538,390.86x = 742,979.43 × 312,167.58
  4. Step 4: Simplify right side
    538,390.86x = 231,934,090,652.88
  5. Step 5: Solve for x
    x = 231,934,090,652.88/538,390.86
  6. Step 6: Final answer
    x = 430,791.29

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1.5x scale

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.