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Finding the Fourth Proportional to 462,605.19, 638,199.68 and 309,692.64

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Solution

The fourth proportional to 462,605.19, 638,199.68 and 309,692.64 is: 427,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,605.19 : 638,199.68 = 309,692.64 : x
  2. Step 2: Convert to fraction form
    462,605.19/638,199.68 = 309,692.64/x
  3. Step 3: Cross multiply
    462,605.19x = 638,199.68 × 309,692.64
  4. Step 4: Simplify right side
    462,605.19x = 197,645,742,197.89
  5. Step 5: Solve for x
    x = 197,645,742,197.89/462,605.19
  6. Step 6: Final answer
    x = 427,244.97

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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.