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Finding the Fourth Proportional to 421,029.72, 581,020.12 and 230,044.48

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Solution

The fourth proportional to 421,029.72, 581,020.12 and 230,044.48 is: 317,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,029.72 : 581,020.12 = 230,044.48 : x
  2. Step 2: Convert to fraction form
    421,029.72/581,020.12 = 230,044.48/x
  3. Step 3: Cross multiply
    421,029.72x = 581,020.12 × 230,044.48
  4. Step 4: Simplify right side
    421,029.72x = 133,660,471,374.94
  5. Step 5: Solve for x
    x = 133,660,471,374.94/421,029.72
  6. Step 6: Final answer
    x = 317,460.89

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1.5x scale

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.