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Finding the Fourth Proportional to 673,293.79, 928,305 and 431,178.31

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Solution

The fourth proportional to 673,293.79, 928,305 and 431,178.31 is: 594,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,293.79 : 928,305 = 431,178.31 : x
  2. Step 2: Convert to fraction form
    673,293.79/928,305 = 431,178.31/x
  3. Step 3: Cross multiply
    673,293.79x = 928,305 × 431,178.31
  4. Step 4: Simplify right side
    673,293.79x = 400,264,981,064.55
  5. Step 5: Solve for x
    x = 400,264,981,064.55/673,293.79
  6. Step 6: Final answer
    x = 594,487.86

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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.