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Finding the Fourth Proportional to 421,345.56, 581,456.64 and 230,358.84

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Solution

The fourth proportional to 421,345.56, 581,456.64 and 230,358.84 is: 317,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,345.56 : 581,456.64 = 230,358.84 : x
  2. Step 2: Convert to fraction form
    421,345.56/581,456.64 = 230,358.84/x
  3. Step 3: Cross multiply
    421,345.56x = 581,456.64 × 230,358.84
  4. Step 4: Simplify right side
    421,345.56x = 133,943,677,100.70
  5. Step 5: Solve for x
    x = 133,943,677,100.70/421,345.56
  6. Step 6: Final answer
    x = 317,895.07

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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.