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Finding the Fourth Proportional to 463,885.72, 640,169.14 and 270,289.24

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Solution

The fourth proportional to 463,885.72, 640,169.14 and 270,289.24 is: 373,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,885.72 : 640,169.14 = 270,289.24 : x
  2. Step 2: Convert to fraction form
    463,885.72/640,169.14 = 270,289.24/x
  3. Step 3: Cross multiply
    463,885.72x = 640,169.14 × 270,289.24
  4. Step 4: Simplify right side
    463,885.72x = 173,030,830,322.05
  5. Step 5: Solve for x
    x = 173,030,830,322.05/463,885.72
  6. Step 6: Final answer
    x = 373,003.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.