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Finding the Fourth Proportional to 384,633.54, 530,686.20 and 221,281.50

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Solution

The fourth proportional to 384,633.54, 530,686.20 and 221,281.50 is: 305,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,633.54 : 530,686.20 = 221,281.50 : x
  2. Step 2: Convert to fraction form
    384,633.54/530,686.20 = 221,281.50/x
  3. Step 3: Cross multiply
    384,633.54x = 530,686.20 × 221,281.50
  4. Step 4: Simplify right side
    384,633.54x = 117,431,038,365.30
  5. Step 5: Solve for x
    x = 117,431,038,365.30/384,633.54
  6. Step 6: Final answer
    x = 305,306.29

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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.