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Finding the Fourth Proportional to 421,456.24, 581,678.29 and 313,278.93

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Solution

The fourth proportional to 421,456.24, 581,678.29 and 313,278.93 is: 432,375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,456.24 : 581,678.29 = 313,278.93 : x
  2. Step 2: Convert to fraction form
    421,456.24/581,678.29 = 313,278.93/x
  3. Step 3: Cross multiply
    421,456.24x = 581,678.29 × 313,278.93
  4. Step 4: Simplify right side
    421,456.24x = 182,227,552,295.43
  5. Step 5: Solve for x
    x = 182,227,552,295.43/421,456.24
  6. Step 6: Final answer
    x = 432,375.97

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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.