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Finding the Fourth Proportional to 463,996.96, 640,276.72 and 257,270.88

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Solution

The fourth proportional to 463,996.96, 640,276.72 and 257,270.88 is: 355,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,996.96 : 640,276.72 = 257,270.88 : x
  2. Step 2: Convert to fraction form
    463,996.96/640,276.72 = 257,270.88/x
  3. Step 3: Cross multiply
    463,996.96x = 640,276.72 × 257,270.88
  4. Step 4: Simplify right side
    463,996.96x = 164,724,555,197.91
  5. Step 5: Solve for x
    x = 164,724,555,197.91/463,996.96
  6. Step 6: Final answer
    x = 355,012.14

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1.5x scale

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.