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Finding the Fourth Proportional to 383,999.10, 538,151.70 and 383,999.10

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Solution

The fourth proportional to 383,999.10, 538,151.70 and 383,999.10 is: 538,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,999.10 : 538,151.70 = 383,999.10 : x
  2. Step 2: Convert to fraction form
    383,999.10/538,151.70 = 383,999.10/x
  3. Step 3: Cross multiply
    383,999.10x = 538,151.70 × 383,999.10
  4. Step 4: Simplify right side
    383,999.10x = 206,649,768,463.47
  5. Step 5: Solve for x
    x = 206,649,768,463.47/383,999.10
  6. Step 6: Final answer
    x = 538,151.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.