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Finding the Fourth Proportional to 385,842.08, 532,462.49 and 216,076.20

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Solution

The fourth proportional to 385,842.08, 532,462.49 and 216,076.20 is: 298,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,842.08 : 532,462.49 = 216,076.20 : x
  2. Step 2: Convert to fraction form
    385,842.08/532,462.49 = 216,076.20/x
  3. Step 3: Cross multiply
    385,842.08x = 532,462.49 × 216,076.20
  4. Step 4: Simplify right side
    385,842.08x = 115,052,470,401.36
  5. Step 5: Solve for x
    x = 115,052,470,401.36/385,842.08
  6. Step 6: Final answer
    x = 298,185.39

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1.5x scale

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.