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Finding the Fourth Proportional to 673,294.02, 928,305.35 and 431,178.54

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Solution

The fourth proportional to 673,294.02, 928,305.35 and 431,178.54 is: 594,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,294.02 : 928,305.35 = 431,178.54 : x
  2. Step 2: Convert to fraction form
    673,294.02/928,305.35 = 431,178.54/x
  3. Step 3: Cross multiply
    673,294.02x = 928,305.35 × 431,178.54
  4. Step 4: Simplify right side
    673,294.02x = 400,265,345,487.19
  5. Step 5: Solve for x
    x = 400,265,345,487.19/673,294.02
  6. Step 6: Final answer
    x = 594,488.19

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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.