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Finding the Fourth Proportional to 289,135.20, 433,119.60 and 164,330.40

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Solution

The fourth proportional to 289,135.20, 433,119.60 and 164,330.40 is: 246,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,135.20 : 433,119.60 = 164,330.40 : x
  2. Step 2: Convert to fraction form
    289,135.20/433,119.60 = 164,330.40/x
  3. Step 3: Cross multiply
    289,135.20x = 433,119.60 × 164,330.40
  4. Step 4: Simplify right side
    289,135.20x = 71,174,717,115.84
  5. Step 5: Solve for x
    x = 71,174,717,115.84/289,135.20
  6. Step 6: Final answer
    x = 246,164.14

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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.