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Finding the Fourth Proportional to 289,051.80, 433,404.90 and 149,083.80

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Solution

The fourth proportional to 289,051.80, 433,404.90 and 149,083.80 is: 223,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,051.80 : 433,404.90 = 149,083.80 : x
  2. Step 2: Convert to fraction form
    289,051.80/433,404.90 = 149,083.80/x
  3. Step 3: Cross multiply
    289,051.80x = 433,404.90 × 149,083.80
  4. Step 4: Simplify right side
    289,051.80x = 64,613,649,430.62
  5. Step 5: Solve for x
    x = 64,613,649,430.62/289,051.80
  6. Step 6: Final answer
    x = 223,536.58

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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.