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Finding the Fourth Proportional to 289,873.71, 434,606.81 and 127,690.80

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Solution

The fourth proportional to 289,873.71, 434,606.81 and 127,690.80 is: 191,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,873.71 : 434,606.81 = 127,690.80 : x
  2. Step 2: Convert to fraction form
    289,873.71/434,606.81 = 127,690.80/x
  3. Step 3: Cross multiply
    289,873.71x = 434,606.81 × 127,690.80
  4. Step 4: Simplify right side
    289,873.71x = 55,495,290,615.89
  5. Step 5: Solve for x
    x = 55,495,290,615.89/289,873.71
  6. Step 6: Final answer
    x = 191,446.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.