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Finding the Fourth Proportional to 288,999.42, 433,105.20 and 139,228.80

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Solution

The fourth proportional to 288,999.42, 433,105.20 and 139,228.80 is: 208,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,999.42 : 433,105.20 = 139,228.80 : x
  2. Step 2: Convert to fraction form
    288,999.42/433,105.20 = 139,228.80/x
  3. Step 3: Cross multiply
    288,999.42x = 433,105.20 × 139,228.80
  4. Step 4: Simplify right side
    288,999.42x = 60,300,717,269.76
  5. Step 5: Solve for x
    x = 60,300,717,269.76/288,999.42
  6. Step 6: Final answer
    x = 208,653.42

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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.