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Finding the Fourth Proportional to 289,030.80, 433,546.20 and 269,347.80

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Solution

The fourth proportional to 289,030.80, 433,546.20 and 269,347.80 is: 404,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,030.80 : 433,546.20 = 269,347.80 : x
  2. Step 2: Convert to fraction form
    289,030.80/433,546.20 = 269,347.80/x
  3. Step 3: Cross multiply
    289,030.80x = 433,546.20 × 269,347.80
  4. Step 4: Simplify right side
    289,030.80x = 116,774,715,168.36
  5. Step 5: Solve for x
    x = 116,774,715,168.36/289,030.80
  6. Step 6: Final answer
    x = 404,021.70

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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.