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Finding the Fourth Proportional to 431,010.54, 646,514.60 and 194,075.82

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Solution

The fourth proportional to 431,010.54, 646,514.60 and 194,075.82 is: 291,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,010.54 : 646,514.60 = 194,075.82 : x
  2. Step 2: Convert to fraction form
    431,010.54/646,514.60 = 194,075.82/x
  3. Step 3: Cross multiply
    431,010.54x = 646,514.60 × 194,075.82
  4. Step 4: Simplify right side
    431,010.54x = 125,472,850,166.59
  5. Step 5: Solve for x
    x = 125,472,850,166.59/431,010.54
  6. Step 6: Final answer
    x = 291,113.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.