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Finding the Fourth Proportional to 384,605.85, 530,647.95 and 221,253.84

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Solution

The fourth proportional to 384,605.85, 530,647.95 and 221,253.84 is: 305,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,605.85 : 530,647.95 = 221,253.84 : x
  2. Step 2: Convert to fraction form
    384,605.85/530,647.95 = 221,253.84/x
  3. Step 3: Cross multiply
    384,605.85x = 530,647.95 × 221,253.84
  4. Step 4: Simplify right side
    384,605.85x = 117,407,896,625.63
  5. Step 5: Solve for x
    x = 117,407,896,625.63/384,605.85
  6. Step 6: Final answer
    x = 305,268.10

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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.