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Finding the Fourth Proportional to 475,118.72, 655,635.84 and 260,216

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Solution

The fourth proportional to 475,118.72, 655,635.84 and 260,216 is: 359,082.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,118.72 : 655,635.84 = 260,216 : x
  2. Step 2: Convert to fraction form
    475,118.72/655,635.84 = 260,216/x
  3. Step 3: Cross multiply
    475,118.72x = 655,635.84 × 260,216
  4. Step 4: Simplify right side
    475,118.72x = 170,606,935,741.44
  5. Step 5: Solve for x
    x = 170,606,935,741.44/475,118.72
  6. Step 6: Final answer
    x = 359,082.75

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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.