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Finding the Fourth Proportional to 385,577.01, 532,102.85 and 211,162.54

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Solution

The fourth proportional to 385,577.01, 532,102.85 and 211,162.54 is: 291,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,577.01 : 532,102.85 = 211,162.54 : x
  2. Step 2: Convert to fraction form
    385,577.01/532,102.85 = 211,162.54/x
  3. Step 3: Cross multiply
    385,577.01x = 532,102.85 × 211,162.54
  4. Step 4: Simplify right side
    385,577.01x = 112,360,189,347.24
  5. Step 5: Solve for x
    x = 112,360,189,347.24/385,577.01
  6. Step 6: Final answer
    x = 291,407.91

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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.