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Finding the Fourth Proportional to 289,087.40, 398,930.58 and 160,031.48

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Solution

The fourth proportional to 289,087.40, 398,930.58 and 160,031.48 is: 220,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,087.40 : 398,930.58 = 160,031.48 : x
  2. Step 2: Convert to fraction form
    289,087.40/398,930.58 = 160,031.48/x
  3. Step 3: Cross multiply
    289,087.40x = 398,930.58 × 160,031.48
  4. Step 4: Simplify right side
    289,087.40x = 63,841,451,134.66
  5. Step 5: Solve for x
    x = 63,841,451,134.66/289,087.40
  6. Step 6: Final answer
    x = 220,837.89

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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.