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Finding the Fourth Proportional to 654,847.12, 978,543.05 and 491,677.48

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Solution

The fourth proportional to 654,847.12, 978,543.05 and 491,677.48 is: 734,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,847.12 : 978,543.05 = 491,677.48 : x
  2. Step 2: Convert to fraction form
    654,847.12/978,543.05 = 491,677.48/x
  3. Step 3: Cross multiply
    654,847.12x = 978,543.05 × 491,677.48
  4. Step 4: Simplify right side
    654,847.12x = 481,127,580,895.51
  5. Step 5: Solve for x
    x = 481,127,580,895.51/654,847.12
  6. Step 6: Final answer
    x = 734,717.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.