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Finding the Fourth Proportional to 289,514.54, 399,530.10 and 160,461.34

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Solution

The fourth proportional to 289,514.54, 399,530.10 and 160,461.34 is: 221,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,514.54 : 399,530.10 = 160,461.34 : x
  2. Step 2: Convert to fraction form
    289,514.54/399,530.10 = 160,461.34/x
  3. Step 3: Cross multiply
    289,514.54x = 399,530.10 × 160,461.34
  4. Step 4: Simplify right side
    289,514.54x = 64,109,134,414.03
  5. Step 5: Solve for x
    x = 64,109,134,414.03/289,514.54
  6. Step 6: Final answer
    x = 221,436.67

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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.