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Finding the Fourth Proportional to 500,234.56, 689,857.32 and 463,079.78

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Solution

The fourth proportional to 500,234.56, 689,857.32 and 463,079.78 is: 638,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,234.56 : 689,857.32 = 463,079.78 : x
  2. Step 2: Convert to fraction form
    500,234.56/689,857.32 = 463,079.78/x
  3. Step 3: Cross multiply
    500,234.56x = 689,857.32 × 463,079.78
  4. Step 4: Simplify right side
    500,234.56x = 319,458,975,976.99
  5. Step 5: Solve for x
    x = 319,458,975,976.99/500,234.56
  6. Step 6: Final answer
    x = 638,618.36

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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.