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Finding the Fourth Proportional to 289,808.40, 434,194.20 and 178,870.80

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Solution

The fourth proportional to 289,808.40, 434,194.20 and 178,870.80 is: 267,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,808.40 : 434,194.20 = 178,870.80 : x
  2. Step 2: Convert to fraction form
    289,808.40/434,194.20 = 178,870.80/x
  3. Step 3: Cross multiply
    289,808.40x = 434,194.20 × 178,870.80
  4. Step 4: Simplify right side
    289,808.40x = 77,664,663,909.36
  5. Step 5: Solve for x
    x = 77,664,663,909.36/289,808.40
  6. Step 6: Final answer
    x = 267,986.24

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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.