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Finding the Fourth Proportional to 421,036.82, 581,030.31 and 227,444.49

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Solution

The fourth proportional to 421,036.82, 581,030.31 and 227,444.49 is: 313,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,036.82 : 581,030.31 = 227,444.49 : x
  2. Step 2: Convert to fraction form
    421,036.82/581,030.31 = 227,444.49/x
  3. Step 3: Cross multiply
    421,036.82x = 581,030.31 × 227,444.49
  4. Step 4: Simplify right side
    421,036.82x = 132,152,143,385.41
  5. Step 5: Solve for x
    x = 132,152,143,385.41/421,036.82
  6. Step 6: Final answer
    x = 313,873.13

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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.