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Finding the Fourth Proportional to 288,558.40, 432,837.60 and 164,142.40

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Solution

The fourth proportional to 288,558.40, 432,837.60 and 164,142.40 is: 246,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,558.40 : 432,837.60 = 164,142.40 : x
  2. Step 2: Convert to fraction form
    288,558.40/432,837.60 = 164,142.40/x
  3. Step 3: Cross multiply
    288,558.40x = 432,837.60 × 164,142.40
  4. Step 4: Simplify right side
    288,558.40x = 71,047,002,474.24
  5. Step 5: Solve for x
    x = 71,047,002,474.24/288,558.40
  6. Step 6: Final answer
    x = 246,213.60

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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.