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Finding the Fourth Proportional to 673,701.37, 929,710 and 431,984.90

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Solution

The fourth proportional to 673,701.37, 929,710 and 431,984.90 is: 596,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,701.37 : 929,710 = 431,984.90 : x
  2. Step 2: Convert to fraction form
    673,701.37/929,710 = 431,984.90/x
  3. Step 3: Cross multiply
    673,701.37x = 929,710 × 431,984.90
  4. Step 4: Simplify right side
    673,701.37x = 401,620,681,379
  5. Step 5: Solve for x
    x = 401,620,681,379/673,701.37
  6. Step 6: Final answer
    x = 596,140.51

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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.