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Finding the Fourth Proportional to 289,808.40, 434,712.60 and 266,998.80

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Solution

The fourth proportional to 289,808.40, 434,712.60 and 266,998.80 is: 400,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,808.40 : 434,712.60 = 266,998.80 : x
  2. Step 2: Convert to fraction form
    289,808.40/434,712.60 = 266,998.80/x
  3. Step 3: Cross multiply
    289,808.40x = 434,712.60 × 266,998.80
  4. Step 4: Simplify right side
    289,808.40x = 116,067,742,544.88
  5. Step 5: Solve for x
    x = 116,067,742,544.88/289,808.40
  6. Step 6: Final answer
    x = 400,498.20

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1.5x scale

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.