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Finding the Fourth Proportional to 673,614.40, 929,690.04 and 419,047.60

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Solution

The fourth proportional to 673,614.40, 929,690.04 and 419,047.60 is: 578,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,614.40 : 929,690.04 = 419,047.60 : x
  2. Step 2: Convert to fraction form
    673,614.40/929,690.04 = 419,047.60/x
  3. Step 3: Cross multiply
    673,614.40x = 929,690.04 × 419,047.60
  4. Step 4: Simplify right side
    673,614.40x = 389,584,380,005.90
  5. Step 5: Solve for x
    x = 389,584,380,005.90/673,614.40
  6. Step 6: Final answer
    x = 578,349.25

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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.