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Finding the Fourth Proportional to 511,145.82, 705,501.43 and 317,699.63

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Solution

The fourth proportional to 511,145.82, 705,501.43 and 317,699.63 is: 438,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,145.82 : 705,501.43 = 317,699.63 : x
  2. Step 2: Convert to fraction form
    511,145.82/705,501.43 = 317,699.63/x
  3. Step 3: Cross multiply
    511,145.82x = 705,501.43 × 317,699.63
  4. Step 4: Simplify right side
    511,145.82x = 224,137,541,086.00
  5. Step 5: Solve for x
    x = 224,137,541,086.00/511,145.82
  6. Step 6: Final answer
    x = 438,500.19

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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.