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Finding the Fourth Proportional to 491,703.40, 677,122.44 and 427,143.16

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Solution

The fourth proportional to 491,703.40, 677,122.44 and 427,143.16 is: 588,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,703.40 : 677,122.44 = 427,143.16 : x
  2. Step 2: Convert to fraction form
    491,703.40/677,122.44 = 427,143.16/x
  3. Step 3: Cross multiply
    491,703.40x = 677,122.44 × 427,143.16
  4. Step 4: Simplify right side
    491,703.40x = 289,228,218,728.51
  5. Step 5: Solve for x
    x = 289,228,218,728.51/491,703.40
  6. Step 6: Final answer
    x = 588,216.84

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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.