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Finding the Fourth Proportional to 458,538.90, 687,808.35 and 427,434.90

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Solution

The fourth proportional to 458,538.90, 687,808.35 and 427,434.90 is: 641,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,538.90 : 687,808.35 = 427,434.90 : x
  2. Step 2: Convert to fraction form
    458,538.90/687,808.35 = 427,434.90/x
  3. Step 3: Cross multiply
    458,538.90x = 687,808.35 × 427,434.90
  4. Step 4: Simplify right side
    458,538.90x = 293,993,293,301.42
  5. Step 5: Solve for x
    x = 293,993,293,301.42/458,538.90
  6. Step 6: Final answer
    x = 641,152.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.