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Finding the Fourth Proportional to 413,668.40, 620,502.60 and 256,204.40

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Solution

The fourth proportional to 413,668.40, 620,502.60 and 256,204.40 is: 384,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,668.40 : 620,502.60 = 256,204.40 : x
  2. Step 2: Convert to fraction form
    413,668.40/620,502.60 = 256,204.40/x
  3. Step 3: Cross multiply
    413,668.40x = 620,502.60 × 256,204.40
  4. Step 4: Simplify right side
    413,668.40x = 158,975,496,331.44
  5. Step 5: Solve for x
    x = 158,975,496,331.44/413,668.40
  6. Step 6: Final answer
    x = 384,306.60

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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.