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Finding the Fourth Proportional to 511,166.28, 705,529.74 and 317,720.13

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Solution

The fourth proportional to 511,166.28, 705,529.74 and 317,720.13 is: 438,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,166.28 : 705,529.74 = 317,720.13 : x
  2. Step 2: Convert to fraction form
    511,166.28/705,529.74 = 317,720.13/x
  3. Step 3: Cross multiply
    511,166.28x = 705,529.74 × 317,720.13
  4. Step 4: Simplify right side
    511,166.28x = 224,161,000,711.67
  5. Step 5: Solve for x
    x = 224,161,000,711.67/511,166.28
  6. Step 6: Final answer
    x = 438,528.54

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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.