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Finding the Fourth Proportional to 289,814.80, 434,722.20 and 90,147.80

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Solution

The fourth proportional to 289,814.80, 434,722.20 and 90,147.80 is: 135,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,814.80 : 434,722.20 = 90,147.80 : x
  2. Step 2: Convert to fraction form
    289,814.80/434,722.20 = 90,147.80/x
  3. Step 3: Cross multiply
    289,814.80x = 434,722.20 × 90,147.80
  4. Step 4: Simplify right side
    289,814.80x = 39,189,249,941.16
  5. Step 5: Solve for x
    x = 39,189,249,941.16/289,814.80
  6. Step 6: Final answer
    x = 135,221.70

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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.