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Finding the Fourth Proportional to 511,162.89, 705,525 and 317,716.71

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Solution

The fourth proportional to 511,162.89, 705,525 and 317,716.71 is: 438,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,162.89 : 705,525 = 317,716.71 : x
  2. Step 2: Convert to fraction form
    511,162.89/705,525 = 317,716.71/x
  3. Step 3: Cross multiply
    511,162.89x = 705,525 × 317,716.71
  4. Step 4: Simplify right side
    511,162.89x = 224,157,081,822.75
  5. Step 5: Solve for x
    x = 224,157,081,822.75/511,162.89
  6. Step 6: Final answer
    x = 438,523.78

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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.