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Finding the Fourth Proportional to 458,016.22, 686,692.17 and 307,884.13

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Solution

The fourth proportional to 458,016.22, 686,692.17 and 307,884.13 is: 461,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,016.22 : 686,692.17 = 307,884.13 : x
  2. Step 2: Convert to fraction form
    458,016.22/686,692.17 = 307,884.13/x
  3. Step 3: Cross multiply
    458,016.22x = 686,692.17 × 307,884.13
  4. Step 4: Simplify right side
    458,016.22x = 211,421,619,798.84
  5. Step 5: Solve for x
    x = 211,421,619,798.84/458,016.22
  6. Step 6: Final answer
    x = 461,602.91

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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.