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Finding the Fourth Proportional to 385,822.62, 532,420.29 and 216,048.06

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Solution

The fourth proportional to 385,822.62, 532,420.29 and 216,048.06 is: 298,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,822.62 : 532,420.29 = 216,048.06 : x
  2. Step 2: Convert to fraction form
    385,822.62/532,420.29 = 216,048.06/x
  3. Step 3: Cross multiply
    385,822.62x = 532,420.29 × 216,048.06
  4. Step 4: Simplify right side
    385,822.62x = 115,028,370,759.14
  5. Step 5: Solve for x
    x = 115,028,370,759.14/385,822.62
  6. Step 6: Final answer
    x = 298,137.96

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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.