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Finding the Fourth Proportional to 458,016.72, 686,692.91 and 307,884.63

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Solution

The fourth proportional to 458,016.72, 686,692.91 and 307,884.63 is: 461,603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,016.72 : 686,692.91 = 307,884.63 : x
  2. Step 2: Convert to fraction form
    458,016.72/686,692.91 = 307,884.63/x
  3. Step 3: Cross multiply
    458,016.72x = 686,692.91 × 307,884.63
  4. Step 4: Simplify right side
    458,016.72x = 211,422,192,518.97
  5. Step 5: Solve for x
    x = 211,422,192,518.97/458,016.72
  6. Step 6: Final answer
    x = 461,603.66

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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.