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Finding the Fourth Proportional to 412,058.73, 616,980.70 and 261,483.78

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Solution

The fourth proportional to 412,058.73, 616,980.70 and 261,483.78 is: 391,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,058.73 : 616,980.70 = 261,483.78 : x
  2. Step 2: Convert to fraction form
    412,058.73/616,980.70 = 261,483.78/x
  3. Step 3: Cross multiply
    412,058.73x = 616,980.70 × 261,483.78
  4. Step 4: Simplify right side
    412,058.73x = 161,330,444,315.63
  5. Step 5: Solve for x
    x = 161,330,444,315.63/412,058.73
  6. Step 6: Final answer
    x = 391,522.94

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1.5x scale

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.